×

Garoufalidis, Stavros

Author ID: garoufalidis.stavros Recent zbMATH articles by "Garoufalidis, Stavros"
Published as: Garoufalidis, Stavros; Garoufalidis, S.; Garoufalidis, St.
Homepage: https://people.mpim-bonn.mpg.de/stavros/
External Links: MGP · ORCID · Wikidata · dblp
all top 5

Co-Authors

29 single-authored
13 Le, Thang Tu Quoc
9 Levine, Jerome P.
8 Kashaev, Rinat M.
7 Mariño, Marcos
7 Thurston, Dylan Paul
6 Bar-Natan, Dror
6 Dunfield, Nathan M.
6 Rozansky, Lev
6 van der Veen, Roland
6 Zagier, Don Bernard
5 Yoon, Seokbeom
4 Gu, Jie
4 Koutschan, Christoph
4 Kricker, Andrew
4 Ohtsuki, Tomotada
4 Vuong, Thao-Vy
4 Wheeler, Campbell
4 Zickert, Christian K.
3 Costin, Ovidiu
3 Dimofte, Tudor Dan
3 Görner, Matthias
3 Rubinstein, J. Hyam
3 Sun, Xinyu
2 Goussarov, Mikhail
2 Hodgson, Craig D.
2 Loebl, Martin
2 Morton, Hugh R.
2 Murakami, Hitoshi
2 Murakami, Jun
2 Nakamura, Hiroaki
2 Polyak, Michael
2 Pommersheim, James E.
2 Shumakovitch, Alexander N.
2 Thistlethwaite, Morwen B.
1 An, Ni
1 Andersen, Jørgen Ellegaard
1 Baseilhac, Stéphane
1 Bellissard, Jean V.
1 Benedetti, Riccardo
1 Boileau, Michel Charles
1 Calegari, Frank
1 Carter, J. Scott
1 Dancso, Zsuzsanna
1 Deloup, Florian L.
1 Detcherry, Renaud
1 Duan, Zhihao
1 Dubois, Jérôme
1 Fenn, Roger A.
1 Ferrand, Emmanuel
1 Filaseta, Michael A.
1 Fominykh, Evgeny Anatol’evich
1 Geer, Nathan
1 Geronimo, Jeffrey S.
1 Getzler, Ezra
1 Guadagnini, Enore
1 Habegger, Nathan
1 Habiro, H.
1 Hansen, Søren Kold
1 Harikae, Toshio
1 Hoffman, Neil R.
1 Its, Alexander Rudolfovich
1 Jeon, BoGwang
1 Jones, Vaughan Frederick Randal
1 Kapaev, Andrei A.
1 Kawahigashi, Yasuyuki
1 Kerler, Thomas
1 Kidwell, Mark Elliot
1 Kohno, Toshitake
1 Kucharski, Piotr
1 Lan, Yueheng
1 Lauda, Aaron D.
1 Le, Thang T. T. Q.
1 Lee, Christine Ruey Shan
1 Lescop, Christine
1 Li, Shana Yunsheng
1 Masbaum, Gregor
1 Massuyeau, Gwénaël
1 Mattman, Thomas W.
1 Moffatt, Iain
1 Nakanishi, Yasutaka
1 Norine, Serguei
1 Ohyama, Yoshiyuki
1 Okamoto, Miyuki
1 Okuda, Nobuki
1 Pilo, Luigi
1 Popescu, Ionel
1 Przytycki, Józef Henryk
1 Reid, Alan W.
1 Rinat, Ran
1 Rourke, Colin P.
1 Sabo, Eric
1 Sanderson, Brian J.
1 Sato, Nobuya
1 Scheidegger, Emanuel
1 Scott, Shane
1 Segerman, Henry
1 Stanford, Theodore B.
1 Stavros, A. Zenios
1 Stoimenow, Alexander
1 Storzer, Matthias
...and 10 more Co-Authors
all top 5

Serials

8 Journal of Knot Theory and its Ramifications
8 Geometry & Topology
8 Algebraic & Geometric Topology
6 Mathematische Annalen
5 Research in the Mathematical Sciences
4 Topology
4 The New York Journal of Mathematics
4 Mathematical Research Letters
3 Acta Mathematica Vietnamica
3 Inventiones Mathematicae
3 Experimental Mathematics
3 Selecta Mathematica. New Series
3 The Ramanujan Journal
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Quantum Topology
2 Communications in Mathematical Physics
2 Annales de l’Institut Fourier
2 Duke Mathematical Journal
2 Journal of Differential Geometry
2 Transactions of the American Mathematical Society
2 Advances in Applied Mathematics
2 Topology Proceedings
2 Communications in Number Theory and Physics
1 Israel Journal of Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Advances in Mathematics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Fundamenta Mathematicae
1 Illinois Journal of Mathematics
1 Journal of Combinatorial Theory. Series A
1 Journal für die Reine und Angewandte Mathematik
1 Proceedings of the American Mathematical Society
1 European Journal of Combinatorics
1 Combinatorica
1 Journal of the American Mathematical Society
1 International Journal of Mathematics
1 IMRN. International Mathematics Research Notices
1 L’Enseignement Mathématique. 2e Série
1 Proceedings of the National Academy of Sciences of the United States of America
1 The Electronic Journal of Combinatorics
1 Annales Henri Poincaré
1 Pure and Applied Mathematics Quarterly
1 Journal of Topology and Analysis
1 Journal of \(K\)-Theory

Publications by Year

Citations contained in zbMATH Open

107 Publications have been cited 1,371 times in 717 Documents Cited by Year
The colored Jones function is \(q\)-holonomic. Zbl 1078.57012
Garoufalidis, Stavros; Lê, Thang T. Q.
81
2005
On the characteristic and deformation varieties of a knot. Zbl 1080.57014
Garoufalidis, Stavros
80
2004
On the Melvin-Morton-Rozansky conjecture. Zbl 0855.57004
Bar-Natan, Dror; Garoufalidis, Stavros
74
1996
The quantum content of the gluing equations. Zbl 1283.57017
Dimofte, Tudor; Garoufalidis, Stavros
49
2013
Asymptotics of the instantons of Painlevé I. Zbl 1245.34087
Garoufalidis, Stavros; Its, Alexander; Kapaev, Andrei; Mariño, Marcos
48
2012
Calculus of clovers and finite type invariants of 3-manifolds. Zbl 1066.57015
Garoufalidis, Stavros; Goussarov, Mikhail; Polyak, Michael
42
2001
Nahm sums, stability and the colored Jones polynomial. Zbl 1334.57021
Garoufalidis, Stavros; Lê, Thang T. Q.
40
2015
A rational noncommutative invariant of boundary links. Zbl 1075.57004
Garoufalidis, Stavros; Kricker, Andrew
33
2004
Tree-level invariants of three-manifolds, Massey products and the Johnson homomorphism. Zbl 1086.57013
Garoufalidis, Stavros; Levine, Jerome
33
2005
The Jones slopes of a knot. Zbl 1228.57004
Garoufalidis, Stavros
32
2011
The complex volume of \(\mathrm{SL}(n,\mathbb{C})\)-representations of 3-manifolds. Zbl 1335.57034
Garoufalidis, Stavros; Thurston, Dylan P.; Zickert, Christian K.
32
2015
The Århus integral of rational homology 3-spheres. I: A highly non trivial flat connection on \(S ^3\). Zbl 1012.57015
Bar-Natan, D.; Garoufalidis, S.; Rozansky, L.; Thurston, D. P.
31
2002
Gluing equations for \(\mathrm{PGL}(n, \mathbb{C})\)-representations of 3-manifolds. Zbl 1347.57014
Garoufalidis, Stavros; Goerner, Matthias; Zickert, Christian
28
2015
The Århus integral of rational homology 3-spheres. II: Invariance and universality. Zbl 1012.57016
Bar-Natan, D.; Garoufalidis, S.; Rozansky, L.; Thurston, D. P.
28
2002
Evaluation of state integrals at rational points. Zbl 1364.81216
Garoufalidis, Stavros; Kashaev, Rinat
26
2015
The quantum MacMahon master theorem. Zbl 1170.05012
Garoufalidis, Stavros; Lê, Thang T. Q.; Zeilberger, Doron
23
2006
Wheels, wheeling, and the Kontsevich integral of the unknot. Zbl 0964.57010
Bar-Natan, Dror; Garoufalidis, Stavros; Rozansky, Lev; Thurston, Dylan P.
23
2000
The degree of a \(q\)-holonomic sequence is a quadratic quasi-polynomial. Zbl 1298.05042
Garoufalidis, Stavros
22
2011
1-efficient triangulations and the index of a cusped hyperbolic 3-manifold. Zbl 1330.57029
Garoufalidis, Stavros; Hodgson, Craig D.; Rubinstein, J. Hyam; Segerman, Henry
21
2015
Knots, BPS states, and algebraic curves. Zbl 1365.57015
Garoufalidis, Stavros; Kucharski, Piotr; Sułkowski, Piotr
20
2016
Asymptotics of the colored Jones function of a knot. Zbl 1239.57029
Garoufalidis, Stavros; Lê, Thang T. Q.
19
2011
The colored HOMFLYPT function is q-holonomic. Zbl 1414.57012
Garoufalidis, Stavros; Lauda, Aaron D.; Lê, Thang T. Q.
19
2018
Non-triviality of the \(A\)-polynomial for knots in \(S^3\). Zbl 1063.57012
Dunfield, Nathan M.; Garoufalidis, Stavros
17
2004
The loop expansion of the Kontsevich integral, the null-move and \(S\)-equivalence. Zbl 1052.57011
Garoufalidis, Stavros; Rozansky, Lev
16
2004
The Århus integral of rational homology 3-spheres III: Relation with the Le-Murakami-Ohtsuki invariant. Zbl 1060.57010
Bar-Natan, Dror; Garoufalidis, Stavros; Rozansky, Lev; Thurston, Dylan P.
16
2004
The non-commutative \(A\)-polynomial of twist knots. Zbl 1222.57008
Garoufalidis, Stavros; Sun, Xinyu
13
2010
On knots with trivial Alexander polynomial. Zbl 1095.57007
Garoufalidis, Stavros; Teichner, Peter
13
2004
Chern-Simons theory, analytic continuation and arithmetic. Zbl 1189.57010
Garoufalidis, Stavros
13
2008
A census of tetrahedral hyperbolic manifolds. Zbl 1344.57009
Fominykh, Evgeny; Garoufalidis, Stavros; Goerner, Matthias; Tarkaev, Vladimir; Vesnin, Andrei
13
2016
The 3D index of an ideal triangulation and angle structures. Zbl 1410.57016
Garoufalidis, Stavros
13
2016
Irreducibility of \(q\)-difference operators and the knot \(7_{4}\). Zbl 1311.57017
Garoufalidis, Stavros; Koutschan, Christoph
13
2013
Quantum modularity and complex Chern-Simons theory. Zbl 1447.57014
Dimofte, Tudor; Garoufalidis, Stavros
13
2018
The \(A\)-polynomial of the \((-2,3,3+2n)\) pretzel knots. Zbl 1233.57002
Garoufalidis, Stavros; Mattman, Thomas W.
11
2011
Finite type 3-manifold invariants, the mapping class group and blinks. Zbl 0917.57009
Garoufalidis, Stavros; Levine, Jerome
11
1997
Resurgence of the Kontsevich-Zagier series. Zbl 1238.57016
Costin, Ovidiu; Garoufalidis, Stavros
11
2011
A conjecture on Khovanov’s invariants. Zbl 1064.57019
Garoufalidis, Stavros
11
2004
Finite type 3-manifold invariants and the structure of the Torelli group. I. Zbl 0895.57004
Garoufalidis, Stavros; Levine, Jerome
10
1998
From state integrals to \(q\)-series. Zbl 1407.57010
Garoufalidis, Stavros; Kashaev, Rinat
10
2017
\(G\)-functions and multisum versus holonomic sequences. Zbl 1170.33005
Garoufalidis, Stavros
10
2009
A stability conjecture for the colored Jones polynomial. Zbl 1359.57010
Garoufalidis, Stavros; Vuong, Thao
10
2017
Finite type invariants of cyclic branched covers. Zbl 1081.57010
Garoufalidis, Stavros; Kricker, Andrew
10
2004
The Ptolemy field of 3-manifold representations. Zbl 1322.57018
Garoufalidis, Stavros; Goerner, Matthias; Zickert, Christian
10
2015
Universality and asymptotics of graph counting problems in non-orientable surfaces. Zbl 1245.05066
Garoufalidis, Stavros; Mariño, Marcos
10
2010
Quadratic integer programming and the slope conjecture. Zbl 1361.57009
Garoufalidis, Stavros; van der Veen, Roland
10
2016
Incompressibility criteria for spun-normal surfaces. Zbl 1281.57012
Dunfield, Nathan M.; Garoufalidis, Stavros
10
2012
Asymptotics of Nahm sums at roots of unity. Zbl 1479.57031
Garoufalidis, Stavros; Zagier, Don
10
2021
A surgery view of boundary links. Zbl 1032.57016
Garoufalidis, Stavros; Kricker, Andrew
9
2003
On finite type 3-manifold invariants. I. Zbl 0889.57015
Garoufalidis, Stavros
9
1996
Applications of quantum invariants in low dimensional topology. Zbl 0892.57005
Garoufalidis, Stavros
9
1998
Asymptotics of \(q\)-difference equations. Zbl 1144.57005
Garoufalidis, Stavros; Geronimo, Jeffrey S.
8
2006
Resurgence of the Euler-Maclaurin summation formula. Zbl 1166.34055
Costin, Ovidiu; Garoufalidis, Stavros
8
2008
On finite type 3-manifold invariants. III: Manifold weight systems. Zbl 0889.57017
Garoufalidis, Stavros; Ohtsuki, Tomotada
8
1998
Sum-integral interpolators and the Euler-Maclaurin formula for polytopes. Zbl 1266.14040
Garoufalidis, Stavros; Pommersheim, James
8
2012
Homology surgery and invariants of 3-manifolds. Zbl 1009.57022
Garoufalidis, Stavros; Levine, Jerome
8
2001
The 3D-index and normal surfaces. Zbl 1378.57030
Garoufalidis, Stavros; Hodgson, Craig D.; Hoffman, Neil R.; Rubinstein, J. Hyam
8
2016
Difference and differential equations for the colored Jones function. Zbl 1155.57012
Garoufalidis, Stavros
8
2008
The \(\mathrm{SL}_{3}\) colored Jones polynomial of the trefoil. Zbl 1271.57036
Garoufalidis, Stavros; Morton, Hugh; Vuong, Thao
8
2013
The resurgent structure of quantum knot invariants. Zbl 1469.81047
Garoufalidis, Stavros; Gu, Jie; Mariño, Marcos
8
2021
Asymptotics of classical spin networks. With an appendix by Don Zagier. Zbl 1277.57020
Garoufalidis, Stavros; van der Veen, Roland
8
2013
The \(C\)-polynomial of a knot. Zbl 1131.57013
Garoufalidis, Stavros; Sun, Xinyu
7
2006
Values of zeta functions at negative integers, Dedekind sums and toric geometry. Zbl 1007.11067
Garoufalidis, Stavros; Pommersheim, James E.
7
2001
Concordance and 1-loop clovers. Zbl 0983.57004
Garoufalidis, Stavros; Levine, Jerome
7
2001
Analyticity of the free energy of a closed 3-manifold. Zbl 1172.57007
Garoufalidis, Stavros; Lê, Thang T. Q.; Mariño, Marcos
7
2008
The symplectic properties of the \(\mathrm{PGL}(n,\mathbb{C})\)-gluing equations. Zbl 1352.57028
Garoufalidis, Stavros; Zickert, Christian K.
7
2016
Resurgence of Faddeev’s quantum dilogarithm. Zbl 1521.57007
Garoufalidis, Stavros; Kashaev, Rinat
7
2021
Quantum knot invariants. Zbl 1420.57037
Garoufalidis, Stavros
7
2018
Resurgence of the fractional polylogarithms. Zbl 1201.30044
Costin, Ovidiu; Garoufalidis, Stavros
6
2009
On finite type 3-manifold invariants. II. Zbl 0889.57016
Garoufalidis, Stavros; Levine, Jerome
6
1996
Bloch groups, algebraic \(K\)-theory, units, and Nahm’s conjecture. Zbl 1528.11033
Calegari, Frank; Garoufalidis, Stavros; Zagier, Don
6
2023
Analyticity of the planar limit of a matrix model. Zbl 1271.81168
Garoufalidis, Stavros; Popescu, Ionel
6
2013
A survey of \(q\)-holonomic functions. Zbl 1373.33030
Garoufalidis, Stavros; Lê, Thang T. Q.
5
2016
Alternating knots, planar graphs, and \(q\)-series. Zbl 1317.57008
Garoufalidis, Stavros; Vuong, Thao
5
2015
The mystery of the brane relation. Zbl 1030.57020
Garoufalidis, Stavros
5
2002
The noncommutative \(A\)-polynomial of \((-2,3,n)\) pretzel knots. Zbl 1255.57012
Garoufalidis, Stavros; Koutschan, Christoph
5
2012
The slope conjecture for Montesinos knots. Zbl 1473.57050
Garoufalidis, Stavros; Lee, Christine Ruey Shan; van der Veen, Roland
5
2020
The Alexander polynomial and finite type 3-manifold invariants. Zbl 0952.57002
Garoufalidis, Stavros; Habegger, Nathan
4
2000
The \(\mathfrak {sl}_{3}\) Jones polynomial of the trefoil: a case study of \(q\)-holonomic sequences. Zbl 1227.57004
Garoufalidis, Stavros; Koutschan, Christoph
4
2011
A non-commutative formula for the colored Jones function. Zbl 1122.57011
Garoufalidis, Stavros; Loebl, Martin
4
2006
Is the Jones polynomial of a knot really a polynomial? Zbl 1126.57007
Garoufalidis, Stavros; Lê, Thang Tq
4
2006
Rationality of the \(SL(2,\mathbb C)\)-Reidemeister torsion in dimension 3. Zbl 1333.57034
Dubois, Jerome; Garoufalidis, Stavros
4
2016
Behavior of knot invariants under genus 2 mutation. Zbl 1231.57005
Dunfield, Nathan M.; Garoufalidis, Stavros; Shumakovitch, Alexander; Thistlethwaite, Morwen
4
2010
Some \(IHX\)-type relations on trivalent graphs and symplectic representation theory. Zbl 1012.57032
Garoufalidis, Stavros; Nakamura, Hiroaki
3
1998
Asymptotics of quantum spin networks at a fixed root of unity. Zbl 1241.57026
Garoufalidis, Stavros; van der Veen, Roland
3
2012
Knots and tropical curves. Zbl 1241.57008
Garoufalidis, Stavros
3
2011
What is a sequence of Nilsson type? Zbl 1236.57003
Garoufalidis, Stavros
3
2011
Random walks and the colored Jones function. Zbl 1092.57011
Garoufalidis, S.; Loebl, M.
3
2005
Whitehead doubling persists. Zbl 1082.57006
Garoufalidis, Stavros
3
2004
Flag algebras and the stable coefficients of the Jones polynomial. Zbl 1321.05109
Garoufalidis, Stavros; Norin, Sergey; Vuong, Thao
3
2016
Twisting \(q\)-holonomic sequences by complex roots of unity. Zbl 1323.68599
Garoufalidis, Stavros; Koutschan, Christoph
3
2012
Gevrey series in quantum topology. Zbl 1151.57006
Garoufalidis, Stavros; Lê, Thang T. Q.
3
2008
Peacock patterns and resurgence in complex Chern-Simons theory. Zbl 07715597
Garoufalidis, Stavros; Gu, Jie; Mariño, Marcos
3
2023
A new algorithm for the recursion of hypergeometric multisums with improved universal denominator. Zbl 1207.33025
Garoufalidis, Stavros; Sun, Xinyu
3
2010
On the quantum \(K\)-theory of the quintic. Zbl 1487.14120
Garoufalidis, Stavros; Scheidegger, Emanuel
3
2022
Signatures of links and finite type invariants of cyclic branched covers. Zbl 0932.57005
Garoufalidis, Stavros
2
1999
Experimental evidence for the Volume Conjecture for the simplest hyperbolic non-2-bridge knot. Zbl 1092.57005
Garoufalidis, Stavros; Lan, Yueheng
2
2005
Analytic invariants of boundary links. Zbl 1009.57014
Garoufalidis, Stavros; Levine, Jerome
2
2002
Counting essential surfaces in \(3\)-manifolds. Zbl 1490.57017
Dunfield, Nathan M.; Garoufalidis, Stavros; Rubinstein, J. Hyam
2
2022
An extended version of additive \(K\)-theory. Zbl 1200.19004
Garoufalidis, Stavros
1
2009
On finite type 3-manifold invariants. V: Rational homology 3-spheres. Zbl 0889.57019
Garoufalidis, Stavros; Ohtsuki, Tomotada
1
1997
On finite type 3-manifold invariants. IV: Comparison of definitions. Zbl 0889.57018
Garoufalidis, Stavros; Levine, Jerome
1
1997
Bloch groups, algebraic \(K\)-theory, units, and Nahm’s conjecture. Zbl 1528.11033
Calegari, Frank; Garoufalidis, Stavros; Zagier, Don
6
2023
Peacock patterns and resurgence in complex Chern-Simons theory. Zbl 07715597
Garoufalidis, Stavros; Gu, Jie; Mariño, Marcos
3
2023
Knots and their related \(q\)-series. Zbl 07762641
Garoufalidis, Stavros; Zagier, Don
1
2023
On the quantum \(K\)-theory of the quintic. Zbl 1487.14120
Garoufalidis, Stavros; Scheidegger, Emanuel
3
2022
Counting essential surfaces in \(3\)-manifolds. Zbl 1490.57017
Dunfield, Nathan M.; Garoufalidis, Stavros; Rubinstein, J. Hyam
2
2022
Asymptotics of Nahm sums at roots of unity. Zbl 1479.57031
Garoufalidis, Stavros; Zagier, Don
10
2021
The resurgent structure of quantum knot invariants. Zbl 1469.81047
Garoufalidis, Stavros; Gu, Jie; Mariño, Marcos
8
2021
Resurgence of Faddeev’s quantum dilogarithm. Zbl 1521.57007
Garoufalidis, Stavros; Kashaev, Rinat
7
2021
The slope conjecture for Montesinos knots. Zbl 1473.57050
Garoufalidis, Stavros; Lee, Christine Ruey Shan; van der Veen, Roland
5
2020
A diagrammatic approach to the AJ conjecture. Zbl 1472.57013
Detcherry, Renaud; Garoufalidis, Stavros
1
2020
A meromorphic extension of the 3D index. Zbl 1434.57020
Garoufalidis, Stavros; Kashaev, Rinat
1
2019
The colored HOMFLYPT function is q-holonomic. Zbl 1414.57012
Garoufalidis, Stavros; Lauda, Aaron D.; Lê, Thang T. Q.
19
2018
Quantum modularity and complex Chern-Simons theory. Zbl 1447.57014
Dimofte, Tudor; Garoufalidis, Stavros
13
2018
Quantum knot invariants. Zbl 1420.57037
Garoufalidis, Stavros
7
2018
From state integrals to \(q\)-series. Zbl 1407.57010
Garoufalidis, Stavros; Kashaev, Rinat
10
2017
A stability conjecture for the colored Jones polynomial. Zbl 1359.57010
Garoufalidis, Stavros; Vuong, Thao
10
2017
Knots, BPS states, and algebraic curves. Zbl 1365.57015
Garoufalidis, Stavros; Kucharski, Piotr; Sułkowski, Piotr
20
2016
A census of tetrahedral hyperbolic manifolds. Zbl 1344.57009
Fominykh, Evgeny; Garoufalidis, Stavros; Goerner, Matthias; Tarkaev, Vladimir; Vesnin, Andrei
13
2016
The 3D index of an ideal triangulation and angle structures. Zbl 1410.57016
Garoufalidis, Stavros
13
2016
Quadratic integer programming and the slope conjecture. Zbl 1361.57009
Garoufalidis, Stavros; van der Veen, Roland
10
2016
The 3D-index and normal surfaces. Zbl 1378.57030
Garoufalidis, Stavros; Hodgson, Craig D.; Hoffman, Neil R.; Rubinstein, J. Hyam
8
2016
The symplectic properties of the \(\mathrm{PGL}(n,\mathbb{C})\)-gluing equations. Zbl 1352.57028
Garoufalidis, Stavros; Zickert, Christian K.
7
2016
A survey of \(q\)-holonomic functions. Zbl 1373.33030
Garoufalidis, Stavros; Lê, Thang T. Q.
5
2016
Rationality of the \(SL(2,\mathbb C)\)-Reidemeister torsion in dimension 3. Zbl 1333.57034
Dubois, Jerome; Garoufalidis, Stavros
4
2016
Flag algebras and the stable coefficients of the Jones polynomial. Zbl 1321.05109
Garoufalidis, Stavros; Norin, Sergey; Vuong, Thao
3
2016
Exact computation of the \(n\)-loop invariants of knots. Zbl 1336.57019
Garoufalidis, Stavros; Sabo, Eric; Scott, Shane
1
2016
Nahm sums, stability and the colored Jones polynomial. Zbl 1334.57021
Garoufalidis, Stavros; Lê, Thang T. Q.
40
2015
The complex volume of \(\mathrm{SL}(n,\mathbb{C})\)-representations of 3-manifolds. Zbl 1335.57034
Garoufalidis, Stavros; Thurston, Dylan P.; Zickert, Christian K.
32
2015
Gluing equations for \(\mathrm{PGL}(n, \mathbb{C})\)-representations of 3-manifolds. Zbl 1347.57014
Garoufalidis, Stavros; Goerner, Matthias; Zickert, Christian
28
2015
Evaluation of state integrals at rational points. Zbl 1364.81216
Garoufalidis, Stavros; Kashaev, Rinat
26
2015
1-efficient triangulations and the index of a cusped hyperbolic 3-manifold. Zbl 1330.57029
Garoufalidis, Stavros; Hodgson, Craig D.; Rubinstein, J. Hyam; Segerman, Henry
21
2015
The Ptolemy field of 3-manifold representations. Zbl 1322.57018
Garoufalidis, Stavros; Goerner, Matthias; Zickert, Christian
10
2015
Alternating knots, planar graphs, and \(q\)-series. Zbl 1317.57008
Garoufalidis, Stavros; Vuong, Thao
5
2015
A generating series for Murakami-Ohtsuki-Yamada graph evaluations. Zbl 1312.57026
Garoufalidis, Stavros; Der Veen, Roland van
1
2014
Recurrent sequences of polynomials in three-dimensional topology. Zbl 1314.57020
Garoufalidis, Stavros
1
2014
The quantum content of the gluing equations. Zbl 1283.57017
Dimofte, Tudor; Garoufalidis, Stavros
49
2013
Irreducibility of \(q\)-difference operators and the knot \(7_{4}\). Zbl 1311.57017
Garoufalidis, Stavros; Koutschan, Christoph
13
2013
The \(\mathrm{SL}_{3}\) colored Jones polynomial of the trefoil. Zbl 1271.57036
Garoufalidis, Stavros; Morton, Hugh; Vuong, Thao
8
2013
Asymptotics of classical spin networks. With an appendix by Don Zagier. Zbl 1277.57020
Garoufalidis, Stavros; van der Veen, Roland
8
2013
Analyticity of the planar limit of a matrix model. Zbl 1271.81168
Garoufalidis, Stavros; Popescu, Ionel
6
2013
Asymptotics of the instantons of Painlevé I. Zbl 1245.34087
Garoufalidis, Stavros; Its, Alexander; Kapaev, Andrei; Mariño, Marcos
48
2012
Incompressibility criteria for spun-normal surfaces. Zbl 1281.57012
Dunfield, Nathan M.; Garoufalidis, Stavros
10
2012
Sum-integral interpolators and the Euler-Maclaurin formula for polytopes. Zbl 1266.14040
Garoufalidis, Stavros; Pommersheim, James
8
2012
The noncommutative \(A\)-polynomial of \((-2,3,n)\) pretzel knots. Zbl 1255.57012
Garoufalidis, Stavros; Koutschan, Christoph
5
2012
Asymptotics of quantum spin networks at a fixed root of unity. Zbl 1241.57026
Garoufalidis, Stavros; van der Veen, Roland
3
2012
Twisting \(q\)-holonomic sequences by complex roots of unity. Zbl 1323.68599
Garoufalidis, Stavros; Koutschan, Christoph
3
2012
The Jones slopes of a knot. Zbl 1228.57004
Garoufalidis, Stavros
32
2011
The degree of a \(q\)-holonomic sequence is a quadratic quasi-polynomial. Zbl 1298.05042
Garoufalidis, Stavros
22
2011
Asymptotics of the colored Jones function of a knot. Zbl 1239.57029
Garoufalidis, Stavros; Lê, Thang T. Q.
19
2011
The \(A\)-polynomial of the \((-2,3,3+2n)\) pretzel knots. Zbl 1233.57002
Garoufalidis, Stavros; Mattman, Thomas W.
11
2011
Resurgence of the Kontsevich-Zagier series. Zbl 1238.57016
Costin, Ovidiu; Garoufalidis, Stavros
11
2011
The \(\mathfrak {sl}_{3}\) Jones polynomial of the trefoil: a case study of \(q\)-holonomic sequences. Zbl 1227.57004
Garoufalidis, Stavros; Koutschan, Christoph
4
2011
Knots and tropical curves. Zbl 1241.57008
Garoufalidis, Stavros
3
2011
What is a sequence of Nilsson type? Zbl 1236.57003
Garoufalidis, Stavros
3
2011
The non-commutative \(A\)-polynomial of twist knots. Zbl 1222.57008
Garoufalidis, Stavros; Sun, Xinyu
13
2010
Universality and asymptotics of graph counting problems in non-orientable surfaces. Zbl 1245.05066
Garoufalidis, Stavros; Mariño, Marcos
10
2010
Behavior of knot invariants under genus 2 mutation. Zbl 1231.57005
Dunfield, Nathan M.; Garoufalidis, Stavros; Shumakovitch, Alexander; Thistlethwaite, Morwen
4
2010
A new algorithm for the recursion of hypergeometric multisums with improved universal denominator. Zbl 1207.33025
Garoufalidis, Stavros; Sun, Xinyu
3
2010
\(G\)-functions and multisum versus holonomic sequences. Zbl 1170.33005
Garoufalidis, Stavros
10
2009
Resurgence of the fractional polylogarithms. Zbl 1201.30044
Costin, Ovidiu; Garoufalidis, Stavros
6
2009
An extended version of additive \(K\)-theory. Zbl 1200.19004
Garoufalidis, Stavros
1
2009
Chern-Simons theory, analytic continuation and arithmetic. Zbl 1189.57010
Garoufalidis, Stavros
13
2008
Resurgence of the Euler-Maclaurin summation formula. Zbl 1166.34055
Costin, Ovidiu; Garoufalidis, Stavros
8
2008
Difference and differential equations for the colored Jones function. Zbl 1155.57012
Garoufalidis, Stavros
8
2008
Analyticity of the free energy of a closed 3-manifold. Zbl 1172.57007
Garoufalidis, Stavros; Lê, Thang T. Q.; Mariño, Marcos
7
2008
Gevrey series in quantum topology. Zbl 1151.57006
Garoufalidis, Stavros; Lê, Thang T. Q.
3
2008
An Ansatz for the asymptotics of hypergeometric multisums. Zbl 1170.34059
Garoufalidis, Stavros
1
2008
The quantum MacMahon master theorem. Zbl 1170.05012
Garoufalidis, Stavros; Lê, Thang T. Q.; Zeilberger, Doron
23
2006
Asymptotics of \(q\)-difference equations. Zbl 1144.57005
Garoufalidis, Stavros; Geronimo, Jeffrey S.
8
2006
The \(C\)-polynomial of a knot. Zbl 1131.57013
Garoufalidis, Stavros; Sun, Xinyu
7
2006
A non-commutative formula for the colored Jones function. Zbl 1122.57011
Garoufalidis, Stavros; Loebl, Martin
4
2006
Is the Jones polynomial of a knot really a polynomial? Zbl 1126.57007
Garoufalidis, Stavros; Lê, Thang Tq
4
2006
The colored Jones function is \(q\)-holonomic. Zbl 1078.57012
Garoufalidis, Stavros; Lê, Thang T. Q.
81
2005
Tree-level invariants of three-manifolds, Massey products and the Johnson homomorphism. Zbl 1086.57013
Garoufalidis, Stavros; Levine, Jerome
33
2005
Random walks and the colored Jones function. Zbl 1092.57011
Garoufalidis, S.; Loebl, M.
3
2005
Experimental evidence for the Volume Conjecture for the simplest hyperbolic non-2-bridge knot. Zbl 1092.57005
Garoufalidis, Stavros; Lan, Yueheng
2
2005
On the characteristic and deformation varieties of a knot. Zbl 1080.57014
Garoufalidis, Stavros
80
2004
A rational noncommutative invariant of boundary links. Zbl 1075.57004
Garoufalidis, Stavros; Kricker, Andrew
33
2004
Non-triviality of the \(A\)-polynomial for knots in \(S^3\). Zbl 1063.57012
Dunfield, Nathan M.; Garoufalidis, Stavros
17
2004
The loop expansion of the Kontsevich integral, the null-move and \(S\)-equivalence. Zbl 1052.57011
Garoufalidis, Stavros; Rozansky, Lev
16
2004
The Århus integral of rational homology 3-spheres III: Relation with the Le-Murakami-Ohtsuki invariant. Zbl 1060.57010
Bar-Natan, Dror; Garoufalidis, Stavros; Rozansky, Lev; Thurston, Dylan P.
16
2004
On knots with trivial Alexander polynomial. Zbl 1095.57007
Garoufalidis, Stavros; Teichner, Peter
13
2004
A conjecture on Khovanov’s invariants. Zbl 1064.57019
Garoufalidis, Stavros
11
2004
Finite type invariants of cyclic branched covers. Zbl 1081.57010
Garoufalidis, Stavros; Kricker, Andrew
10
2004
Whitehead doubling persists. Zbl 1082.57006
Garoufalidis, Stavros
3
2004
A surgery view of boundary links. Zbl 1032.57016
Garoufalidis, Stavros; Kricker, Andrew
9
2003
The Århus integral of rational homology 3-spheres. I: A highly non trivial flat connection on \(S ^3\). Zbl 1012.57015
Bar-Natan, D.; Garoufalidis, S.; Rozansky, L.; Thurston, D. P.
31
2002
The Århus integral of rational homology 3-spheres. II: Invariance and universality. Zbl 1012.57016
Bar-Natan, D.; Garoufalidis, S.; Rozansky, L.; Thurston, D. P.
28
2002
The mystery of the brane relation. Zbl 1030.57020
Garoufalidis, Stavros
5
2002
Analytic invariants of boundary links. Zbl 1009.57014
Garoufalidis, Stavros; Levine, Jerome
2
2002
Calculus of clovers and finite type invariants of 3-manifolds. Zbl 1066.57015
Garoufalidis, Stavros; Goussarov, Mikhail; Polyak, Michael
42
2001
Homology surgery and invariants of 3-manifolds. Zbl 1009.57022
Garoufalidis, Stavros; Levine, Jerome
8
2001
Values of zeta functions at negative integers, Dedekind sums and toric geometry. Zbl 1007.11067
Garoufalidis, Stavros; Pommersheim, James E.
7
2001
Concordance and 1-loop clovers. Zbl 0983.57004
Garoufalidis, Stavros; Levine, Jerome
7
2001
Wheels, wheeling, and the Kontsevich integral of the unknot. Zbl 0964.57010
Bar-Natan, Dror; Garoufalidis, Stavros; Rozansky, Lev; Thurston, Dylan P.
23
2000
The Alexander polynomial and finite type 3-manifold invariants. Zbl 0952.57002
Garoufalidis, Stavros; Habegger, Nathan
4
2000
Signatures of links and finite type invariants of cyclic branched covers. Zbl 0932.57005
Garoufalidis, Stavros
2
1999
Finite type 3-manifold invariants and the structure of the Torelli group. I. Zbl 0895.57004
Garoufalidis, Stavros; Levine, Jerome
10
1998
Applications of quantum invariants in low dimensional topology. Zbl 0892.57005
Garoufalidis, Stavros
9
1998
On finite type 3-manifold invariants. III: Manifold weight systems. Zbl 0889.57017
Garoufalidis, Stavros; Ohtsuki, Tomotada
8
1998
...and 7 more Documents
all top 5

Cited by 713 Authors

59 Garoufalidis, Stavros
19 Mariño, Marcos
15 Massuyeau, Gwénaël
14 Gukov, Sergei
13 Gang, Dongmin
13 Morozov, Alexei Yurievich
13 Sułkowski, Piotr
12 Kalfagianni, Efstratia
12 Mironov, Andrei D.
10 Le, Thang Tu Quoc
10 Lee, Christine Ruey Shan
10 Meilhan, Jean-Baptiste
9 Bar-Natan, Dror
9 Dimofte, Tudor Dan
9 Sakasai, Takuya
8 Costin, Ovidiu
8 Dunne, Gerald V.
8 Habiro, Kazuo
8 Milas, Antun
8 Moussard, Delphine
8 van der Veen, Roland
7 Kucharski, Piotr
7 Marché, Julien
7 Morozov, Andreĭ Alekseevich
7 Ohtsuki, Tomotada
7 Schiappa, Ricardo
7 Takata, Toshie
7 Tran, Anh Tuan
6 Andersen, Jørgen Ellegaard
6 Bringmann, Kathrin
6 Falbel, Elisha
6 Gu, Jie
6 Hajij, Mustafa
6 Murakami, Hitoshi
6 Ramadevi, Pichai
6 Rozansky, Lev
6 Rubinstein, J. Hyam
6 Schneiderman, Rob
6 Yoon, Seokbeom
6 Zickert, Christian K.
5 Aniceto, Inês
5 Dunfield, Nathan M.
5 Ekholm, Tobias
5 Guilloux, Antonin
5 Koutschan, Christoph
5 Levine, Jerome P.
5 Loebl, Martin
5 Moffatt, Iain
5 Nawata, Satoshi
5 Osburn, Robert
5 Park, Sunghyuk
5 Porti, Joan
5 Sikora, Adam S.
5 Teichner, Peter
5 Ünsal, Mithat
5 Yamazaki, Masahito
4 Boden, Hans U.
4 Borinsky, Michael
4 Conant, James
4 Eynard, Bertrand
4 Fominykh, Evgeny Anatol’evich
4 Görner, Matthias
4 Grassi, Alba
4 Jun, Byungheup
4 Lee, Jungyun
4 Lin, Xiao-Song
4 Mellor, Blake
4 Mulase, Motohico
4 Nozaki, Yuta
4 Purcell, Jessica Shepherd
4 Reid, Alan W.
4 Santamaría, Ricardo Couso
4 Segerman, Henry
4 Stošić, Marko
4 Vonk, Marcel
4 Zagier, Don Bernard
3 Aptekarev, Alexander Ivanovich
3 Bell, Jason P.
3 Bellingeri, Paolo
3 Bene, Alex James
3 Berest, Yuri Yu.
3 Bostan, Alin
3 Chung, Hee-Joong
3 Codesido, Santiago
3 Costantino, Francesco
3 Detcherry, Renaud
3 Dumitrescu, Olivia M.
3 Elhamdadi, Mohamed
3 Feller, Peter
3 Foata, Dominique C.
3 Friedl, Stefan
3 Futer, David
3 Guo, Li
3 Han, Guo-Niu
3 Hikami, Kazuhiro
3 Il’yutko, Denis Petrovich
3 Ito, Tetsuya
3 Jankowski, Jakub
3 Kang, Ensil
3 Kashaev, Rinat M.
...and 613 more Authors
all top 5

Cited in 145 Serials

74 Journal of High Energy Physics
63 Journal of Knot Theory and its Ramifications
60 Algebraic & Geometric Topology
28 Geometry & Topology
27 Advances in Mathematics
25 Communications in Mathematical Physics
19 Transactions of the American Mathematical Society
18 Proceedings of the American Mathematical Society
14 Quantum Topology
13 Topology and its Applications
13 International Journal of Mathematics
13 Journal of Physics A: Mathematical and Theoretical
12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
10 Letters in Mathematical Physics
10 Geometriae Dedicata
9 Annales Henri Poincaré
8 Acta Mathematica Vietnamica
8 Mathematische Annalen
8 Research in the Mathematical Sciences
7 Nuclear Physics. B
7 Duke Mathematical Journal
7 Advances in Applied Mathematics
7 Experimental Mathematics
7 Journal of Mathematical Sciences (New York)
6 Mathematical Proceedings of the Cambridge Philosophical Society
6 Journal of Algebra
6 Journal of Combinatorial Theory. Series A
5 Theoretical and Mathematical Physics
5 Journal of Geometry and Physics
5 European Journal of Combinatorics
5 The Ramanujan Journal
5 Journal of Topology
5 Winter Braids Lecture Notes
4 Journal of Mathematical Physics
4 Annales de l’Institut Fourier
4 Inventiones Mathematicae
4 Journal of Pure and Applied Algebra
4 Mathematische Zeitschrift
3 Bulletin de la Société Mathématique de France
3 Compositio Mathematica
3 Journal of the London Mathematical Society. Second Series
3 Journal of the Mathematical Society of Japan
3 Journal of Number Theory
3 Osaka Journal of Mathematics
3 Pacific Journal of Mathematics
3 Bulletin of the American Mathematical Society. New Series
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 The Electronic Journal of Combinatorics
3 Selecta Mathematica. New Series
3 Journal of the European Mathematical Society (JEMS)
3 Oberwolfach Reports
3 Journal of Topology and Analysis
2 International Journal of Modern Physics A
2 Communications on Pure and Applied Mathematics
2 Israel Journal of Mathematics
2 Journal of Mathematical Analysis and Applications
2 Journal of Statistical Physics
2 Canadian Journal of Mathematics
2 Functional Analysis and its Applications
2 Indiana University Mathematics Journal
2 Journal of Differential Geometry
2 Journal für die Reine und Angewandte Mathematik
2 Michigan Mathematical Journal
2 Proceedings of the London Mathematical Society. Third Series
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Combinatorica
2 Journal of Symbolic Computation
2 Probability Theory and Related Fields
2 Constructive Approximation
2 Sugaku Expositions
2 Linear Algebra and its Applications
2 Applied and Computational Harmonic Analysis
2 The New York Journal of Mathematics
2 Séminaire Lotharingien de Combinatoire
2 Annals of Combinatorics
2 Acta Mathematica Sinica. English Series
2 Lobachevskii Journal of Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Forum of Mathematics, Pi
2 Journal de l’École Polytechnique – Mathématiques
1 Modern Physics Letters A
1 Bulletin of the Australian Mathematical Society
1 Communications in Algebra
1 Computer Physics Communications
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Nonlinearity
1 Physics Letters. B
1 Physics Reports
1 Russian Mathematical Surveys
1 Chaos, Solitons and Fractals
1 Fortschritte der Physik
1 Acta Mathematica
1 The Annals of Probability
1 Bulletin of the London Mathematical Society
1 Fundamenta Mathematicae
1 Illinois Journal of Mathematics
1 Publications Mathématiques
1 Journal of Combinatorial Theory. Series B
1 Journal of the Korean Mathematical Society
...and 45 more Serials
all top 5

Cited in 45 Fields

474 Manifolds and cell complexes (57-XX)
189 Quantum theory (81-XX)
73 Algebraic geometry (14-XX)
65 Combinatorics (05-XX)
56 Group theory and generalizations (20-XX)
51 Number theory (11-XX)
51 Nonassociative rings and algebras (17-XX)
40 Differential geometry (53-XX)
33 Global analysis, analysis on manifolds (58-XX)
31 Relativity and gravitational theory (83-XX)
30 Special functions (33-XX)
26 Associative rings and algebras (16-XX)
21 Several complex variables and analytic spaces (32-XX)
20 Ordinary differential equations (34-XX)
15 Algebraic topology (55-XX)
13 Difference and functional equations (39-XX)
12 Category theory; homological algebra (18-XX)
12 Topological groups, Lie groups (22-XX)
12 Probability theory and stochastic processes (60-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
10 Commutative algebra (13-XX)
10 Dynamical systems and ergodic theory (37-XX)
8 Convex and discrete geometry (52-XX)
8 Statistical mechanics, structure of matter (82-XX)
6 Functions of a complex variable (30-XX)
6 Partial differential equations (35-XX)
6 Functional analysis (46-XX)
6 Numerical analysis (65-XX)
6 Computer science (68-XX)
5 Sequences, series, summability (40-XX)
4 \(K\)-theory (19-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Operator theory (47-XX)
4 Geometry (51-XX)
4 Statistics (62-XX)
3 General and overarching topics; collections (00-XX)
3 History and biography (01-XX)
3 Approximations and expansions (41-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 General algebraic systems (08-XX)
2 Field theory and polynomials (12-XX)
2 Real functions (26-XX)
2 Mechanics of particles and systems (70-XX)
1 Potential theory (31-XX)
1 Integral equations (45-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.