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## Garoufalidis, Stavros

Compute Distance To:
 Author ID: garoufalidis.stavros Published as: Garoufalidis, Stavros; Garoufalidis, S.; Garoufalidis, St.
 Documents Indexed: 106 Publications since 1996
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#### Co-Authors

 22 single-authored 9 Le, Thang Tu Quoc 8 Levine, Jerome P. 5 Bar-Natan, Dror 5 Rozansky, Lev 5 Thurston, Dylan Paul 5 van der Veen, Roland 4 Dunfield, Nathan M. 4 Koutschan, Christoph 4 Vuong, Thao 4 Zickert, Christian K. 3 Costin, Ovidiu 3 Görner, Matthias 3 Kashaev, Rinat M. 3 Kricker, Andrew 3 Mariño, Marcos 3 Sun, Xinyu 2 Dimofte, Tudor Dan 2 Hodgson, Craig D. 2 Loebl, Martin 2 Nakamura, Hiroaki 2 Ohtsuki, Tomotada 2 Pommersheim, James E. 2 Rubinstein, J. Hyam 2 Shumakovitch, Alexander N. 2 Thistlethwaite, Morwen B. 1 Detcherry, Renaud 1 Dubois, Jérôme 1 Fominykh, Evgeny Anatol’evich 1 Geronimo, Jeffrey S. 1 Goussarov, Mikhail 1 Habegger, Nathan 1 Hoffman, Neil R. 1 Its, Alexander Rudolfovich 1 Kapaev, Andrei A. 1 Kucharski, Piotr 1 Lan, Yueheng 1 Lauda, Aaron D. 1 Lee, Christine Ruey Shan 1 Mattman, Thomas W. 1 Morton, Hugh R. 1 Norin, Sergey 1 Polyak, Michael 1 Popescu, Ionel 1 Reid, Alan W. 1 Sabo, Eric 1 Scott, Shane 1 Segerman, Henry 1 Sułkowski, Piotr 1 Tarkaev, Vladimir Viktorovich 1 Teichner, Peter 1 Vesnin, Andrei Yu. 1 Zagier, Don Bernard 1 Zeilberger, Doron
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#### Serials

 8 Journal of Knot Theory and its Ramifications 8 Geometry & Topology 8 Algebraic & Geometric Topology 6 Mathematische Annalen 4 Topology 4 The New York Journal of Mathematics 4 Mathematical Research Letters 3 Acta Mathematica Vietnamica 3 Experimental Mathematics 3 Selecta Mathematica. New Series 3 The Ramanujan Journal 3 Research in the Mathematical Sciences 2 Annales de l’Institut Fourier 2 Duke Mathematical Journal 2 Inventiones Mathematicae 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 2 Quantum Topology 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Advances in Mathematics 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 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Topology and Analysis 1 Journal of $$K$$-Theory
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#### Fields

 94 Manifolds and cell complexes (57-XX) 13 Special functions (33-XX) 7 Combinatorics (05-XX) 6 Quantum theory (81-XX) 5 Number theory (11-XX) 4 Difference and functional equations (39-XX) 3 Algebraic geometry (14-XX) 3 Ordinary differential equations (34-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Nonassociative rings and algebras (17-XX) 2 $$K$$-theory (19-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

94 Publications have been cited 955 times in 529 Documents Cited by Year
On the Melvin-Morton-Rozansky conjecture. Zbl 0855.57004
Bar-Natan, Dror; Garoufalidis, Stavros
1996
On the characteristic and deformation varieties of a knot. Zbl 1080.57014
Garoufalidis, Stavros
2004
The colored Jones function is $$q$$-holonomic. Zbl 1078.57012
Garoufalidis, Stavros; Lê, Thang T. Q.
2005
The quantum content of the gluing equations. Zbl 1283.57017
Dimofte, Tudor; Garoufalidis, Stavros
2013
Calculus of clovers and finite type invariants of 3-manifolds. Zbl 1066.57015
Garoufalidis, Stavros; Goussarov, Mikhail; Polyak, Michael
2001
Nahm sums, stability and the colored Jones polynomial. Zbl 1334.57021
Garoufalidis, Stavros; Lê, Thang T. Q.
2015
Tree-level invariants of three-manifolds, Massey products and the Johnson homomorphism. Zbl 1086.57013
Garoufalidis, Stavros; Levine, Jerome
2005
Asymptotics of the instantons of Painlevé I. Zbl 1245.34087
Garoufalidis, Stavros; Its, Alexander; Kapaev, Andrei; Mariño, Marcos
2012
A rational noncommutative invariant of boundary links. Zbl 1075.57004
Garoufalidis, Stavros; Kricker, Andrew
2004
The Jones slopes of a knot. Zbl 1228.57004
Garoufalidis, Stavros
2011
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.
2002
The complex volume of $$\mathrm{SL}(n,\mathbb{C})$$-representations of 3-manifolds. Zbl 1335.57034
Garoufalidis, Stavros; Thurston, Dylan P.; Zickert, Christian K.
2015
Wheels, wheeling, and the Kontsevich integral of the unknot. Zbl 0964.57010
Bar-Natan, Dror; Garoufalidis, Stavros; Rozansky, Lev; Thurston, Dylan P.
2000
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.
2002
The quantum MacMahon master theorem. Zbl 1170.05012
Garoufalidis, Stavros; Lê, Thang T. Q.; Zeilberger, Doron
2006
Gluing equations for $$\mathrm{PGL}(n, \mathbb{C})$$-representations of 3-manifolds. Zbl 1347.57014
Garoufalidis, Stavros; Goerner, Matthias; Zickert, Christian
2015
Evaluation of state integrals at rational points. Zbl 1364.81216
Garoufalidis, Stavros; Kashaev, Rinat
2015
Knots, BPS states, and algebraic curves. Zbl 1365.57015
Garoufalidis, Stavros; Kucharski, Piotr; Sułkowski, Piotr
2016
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
2015
The loop expansion of the Kontsevich integral, the null-move and $$S$$-equivalence. Zbl 1052.57011
Garoufalidis, Stavros; Rozansky, Lev
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.
2004
Non-triviality of the $$A$$-polynomial for knots in $$S^3$$. Zbl 1063.57012
Dunfield, Nathan M.; Garoufalidis, Stavros
2004
The degree of a $$q$$-holonomic sequence is a quadratic quasi-polynomial. Zbl 1298.05042
Garoufalidis, Stavros
2011
A census of tetrahedral hyperbolic manifolds. Zbl 1344.57009
Fominykh, Evgeny; Garoufalidis, Stavros; Goerner, Matthias; Tarkaev, Vladimir; Vesnin, Andrei
2016
Asymptotics of the colored Jones function of a knot. Zbl 1239.57029
Garoufalidis, Stavros; Lê, Thang T. Q.
2011
The colored HOMFLYPT function is q-holonomic. Zbl 1414.57012
Garoufalidis, Stavros; Lauda, Aaron D.; Lê, Thang T. Q.
2018
The non-commutative $$A$$-polynomial of twist knots. Zbl 1222.57008
Garoufalidis, Stavros; Sun, Xinyu
2010
Universality and asymptotics of graph counting problems in non-orientable surfaces. Zbl 1245.05066
Garoufalidis, Stavros; Mariño, Marcos
2010
$$G$$-functions and multisum versus holonomic sequences. Zbl 1170.33005
Garoufalidis, Stavros
2009
Finite type invariants of cyclic branched covers. Zbl 1081.57010
Garoufalidis, Stavros; Kricker, Andrew
2004
A conjecture on Khovanov’s invariants. Zbl 1064.57019
Garoufalidis, Stavros
2004
On knots with trivial Alexander polynomial. Zbl 1095.57007
Garoufalidis, Stavros; Teichner, Peter
2004
The 3D index of an ideal triangulation and angle structures. Zbl 1410.57016
Garoufalidis, Stavros
2016
Difference and differential equations for the colored Jones function. Zbl 1155.57012
Garoufalidis, Stavros
2008
Chern-Simons theory, analytic continuation and arithmetic. Zbl 1189.57010
Garoufalidis, Stavros
2008
The $$A$$-polynomial of the $$(-2,3,3+2n)$$ pretzel knots. Zbl 1233.57002
Garoufalidis, Stavros; Mattman, Thomas W.
2011
Applications of quantum invariants in low dimensional topology. Zbl 0892.57005
Garoufalidis, Stavros
1998
On finite type 3-manifold invariants. III: Manifold weight systems. Zbl 0889.57017
1998
Finite type 3-manifold invariants, the mapping class group and blinks. Zbl 0917.57009
Garoufalidis, Stavros; Levine, Jerome
1997
Finite type 3-manifold invariants and the structure of the Torelli group. I. Zbl 0895.57004
Garoufalidis, Stavros; Levine, Jerome
1998
On finite type 3-manifold invariants. I. Zbl 0889.57015
Garoufalidis, Stavros
1996
A surgery view of boundary links. Zbl 1032.57016
Garoufalidis, Stavros; Kricker, Andrew
2003
Resurgence of the Euler-MacLaurin summation formula. Zbl 1166.34055
Costin, Ovidiu; Garoufalidis, Stavros
2008
Values of zeta functions at negative integers, Dedekind sums and toric geometry. Zbl 1007.11067
Garoufalidis, Stavros; Pommersheim, James E.
2001
Concordance and 1-loop clovers. Zbl 0983.57004
Garoufalidis, Stavros; Levine, Jerome
2001
Homology surgery and invariants of 3-manifolds. Zbl 1009.57022
Garoufalidis, Stavros; Levine, Jerome
2001
Incompressibility criteria for spun-normal surfaces. Zbl 1281.57012
Dunfield, Nathan M.; Garoufalidis, Stavros
2012
Quadratic integer programming and the slope conjecture. Zbl 1361.57009
Garoufalidis, Stavros; van der Veen, Roland
2016
Resurgence of the fractional polylogarithms. Zbl 1201.30044
Costin, Ovidiu; Garoufalidis, Stavros
2009
The $$C$$-polynomial of a knot. Zbl 1131.57013
Garoufalidis, Stavros; Sun, Xinyu
2006
A stability conjecture for the colored Jones polynomial. Zbl 1359.57010
Garoufalidis, Stavros; Vuong, Thao
2017
The symplectic properties of the $$\mathrm{PGL}(n,\mathbb{C})$$-gluing equations. Zbl 1352.57028
Garoufalidis, Stavros; Zickert, Christian K.
2016
The Ptolemy field of 3-manifold representations. Zbl 1322.57018
Garoufalidis, Stavros; Goerner, Matthias; Zickert, Christian
2015
Resurgence of the Kontsevich-Zagier series. Zbl 1238.57016
Costin, Ovidiu; Garoufalidis, Stavros
2011
Irreducibility of $$q$$-difference operators and the knot $$7_{4}$$. Zbl 1311.57017
Garoufalidis, Stavros; Koutschan, Christoph
2013
On finite type 3-manifold invariants. II. Zbl 0889.57016
Garoufalidis, Stavros; Levine, Jerome
1996
Quantum modularity and complex Chern-Simons theory. Zbl 1447.57014
Dimofte, Tudor; Garoufalidis, Stavros
2018
Asymptotics of $$q$$-difference equations. Zbl 1144.57005
Garoufalidis, Stavros; Geronimo, Jeffrey S.
2006
Asymptotics of classical spin networks. With an appendix by Don Zagier. Zbl 1277.57020
Garoufalidis, Stavros; van der Veen, Roland
2013
Analyticity of the planar limit of a matrix model. Zbl 1271.81168
Garoufalidis, Stavros; Popescu, Ionel
2013
The 3D-index and normal surfaces. Zbl 1378.57030
Garoufalidis, Stavros; Hodgson, Craig D.; Hoffman, Neil R.; Rubinstein, J. Hyam
2016
Alternating knots, planar graphs, and $$q$$-series. Zbl 1317.57008
Garoufalidis, Stavros; Vuong, Thao
2015
From state integrals to $$q$$-series. Zbl 1407.57010
Garoufalidis, Stavros; Kashaev, Rinat
2017
The noncommutative $$A$$-polynomial of $$(-2,3,n)$$ pretzel knots. Zbl 1255.57012
Garoufalidis, Stavros; Koutschan, Christoph
2012
The $$\mathrm{SL}_{3}$$ colored Jones polynomial of the trefoil. Zbl 1271.57036
Garoufalidis, Stavros; Morton, Hugh; Vuong, Thao
2013
The $$\mathfrak {sl}_{3}$$ Jones polynomial of the trefoil: a case study of $$q$$-holonomic sequences. Zbl 1227.57004
Garoufalidis, Stavros; Koutschan, Christoph
2011
The Alexander polynomial and finite type 3-manifold invariants. Zbl 0952.57002
Garoufalidis, Stavros; Habegger, Nathan
2000
The mystery of the brane relation. Zbl 1030.57020
Garoufalidis, Stavros
2002
Sum-integral interpolators and the Euler-Maclaurin formula for polytopes. Zbl 1266.14040
Garoufalidis, Stavros; Pommersheim, James
2012
Gevrey series in quantum topology. Zbl 1151.57006
Garoufalidis, Stavros; Lê, Thang T. Q.
2008
A non-commutative formula for the colored Jones function. Zbl 1122.57011
Garoufalidis, Stavros; Loebl, Martin
2006
Is the Jones polynomial of a knot really a polynomial? Zbl 1126.57007
Garoufalidis, Stavros; Lê, Thang Tq
2006
Analyticity of the free energy of a closed 3-manifold. Zbl 1172.57007
Garoufalidis, Stavros; Lê, Thang T. Q.; Mariño, Marcos
2008
Random walks and the colored Jones function. Zbl 1092.57011
Garoufalidis, S.; Loebl, M.
2005
Flag algebras and the stable coefficients of the Jones polynomial. Zbl 1321.05109
Garoufalidis, Stavros; Norin, Sergey; Vuong, Thao
2016
A survey of $$q$$-holonomic functions. Zbl 1373.33030
Garoufalidis, Stavros; Lê, Thang T. Q.
2016
Asymptotics of quantum spin networks at a fixed root of unity. Zbl 1241.57026
Garoufalidis, Stavros; van der Veen, Roland
2012
A new algorithm for the recursion of hypergeometric multisums with improved universal denominator. Zbl 1207.33025
Garoufalidis, Stavros; Sun, Xinyu
2010
Behavior of knot invariants under genus 2 mutation. Zbl 1231.57005
Dunfield, Nathan M.; Garoufalidis, Stavros; Shumakovitch, Alexander; Thistlethwaite, Morwen
2010
Knots and tropical curves. Zbl 1241.57008
Garoufalidis, Stavros
2011
What is a sequence of Nilsson type? Zbl 1236.57003
Garoufalidis, Stavros
2011
Some $$IHX$$-type relations on trivalent graphs and symplectic representation theory. Zbl 1012.57032
Garoufalidis, Stavros; Nakamura, Hiroaki
1998
Signatures of links and finite type invariants of cyclic branched covers. Zbl 0932.57005
Garoufalidis, Stavros
1999
Garoufalidis, Stavros
2004
Analytic invariants of boundary links. Zbl 1009.57014
Garoufalidis, Stavros; Levine, Jerome
2002
Experimental evidence for the Volume Conjecture for the simplest hyperbolic non-2-bridge knot. Zbl 1092.57005
Garoufalidis, Stavros; Lan, Yueheng
2005
Rationality of the $$SL(2,\mathbb C)$$-Reidemeister torsion in dimension 3. Zbl 1333.57034
Dubois, Jerome; Garoufalidis, Stavros
2016
Twisting $$q$$-holonomic sequences by complex roots of unity. Zbl 1323.68599
Garoufalidis, Stavros; Koutschan, Christoph
2012
An Ansatz for the asymptotics of hypergeometric multisums. Zbl 1170.34059
Garoufalidis, Stavros
2008
An extended version of additive $$K$$-theory. Zbl 1200.19004
Garoufalidis, Stavros
2009
On finite type 3-manifold invariants. V: Rational homology 3-spheres. Zbl 0889.57019
1997
On finite type 3-manifold invariants. IV: Comparison of definitions. Zbl 0889.57018
Garoufalidis, Stavros; Levine, Jerome
1997
A generating series for Murakami-Ohtsuki-Yamada graph evaluations. Zbl 1312.57026
Garoufalidis, Stavros; Der Veen, Roland van
2014
Quantum knot invariants. Zbl 1420.57037
Garoufalidis, Stavros
2018
The colored HOMFLYPT function is q-holonomic. Zbl 1414.57012
Garoufalidis, Stavros; Lauda, Aaron D.; Lê, Thang T. Q.
2018
Quantum modularity and complex Chern-Simons theory. Zbl 1447.57014
Dimofte, Tudor; Garoufalidis, Stavros
2018
Quantum knot invariants. Zbl 1420.57037
Garoufalidis, Stavros
2018
A stability conjecture for the colored Jones polynomial. Zbl 1359.57010
Garoufalidis, Stavros; Vuong, Thao
2017
From state integrals to $$q$$-series. Zbl 1407.57010
Garoufalidis, Stavros; Kashaev, Rinat
2017
Knots, BPS states, and algebraic curves. Zbl 1365.57015
Garoufalidis, Stavros; Kucharski, Piotr; Sułkowski, Piotr
2016
A census of tetrahedral hyperbolic manifolds. Zbl 1344.57009
Fominykh, Evgeny; Garoufalidis, Stavros; Goerner, Matthias; Tarkaev, Vladimir; Vesnin, Andrei
2016
The 3D index of an ideal triangulation and angle structures. Zbl 1410.57016
Garoufalidis, Stavros
2016
Quadratic integer programming and the slope conjecture. Zbl 1361.57009
Garoufalidis, Stavros; van der Veen, Roland
2016
The symplectic properties of the $$\mathrm{PGL}(n,\mathbb{C})$$-gluing equations. Zbl 1352.57028
Garoufalidis, Stavros; Zickert, Christian K.
2016
The 3D-index and normal surfaces. Zbl 1378.57030
Garoufalidis, Stavros; Hodgson, Craig D.; Hoffman, Neil R.; Rubinstein, J. Hyam
2016
Flag algebras and the stable coefficients of the Jones polynomial. Zbl 1321.05109
Garoufalidis, Stavros; Norin, Sergey; Vuong, Thao
2016
A survey of $$q$$-holonomic functions. Zbl 1373.33030
Garoufalidis, Stavros; Lê, Thang T. Q.
2016
Rationality of the $$SL(2,\mathbb C)$$-Reidemeister torsion in dimension 3. Zbl 1333.57034
Dubois, Jerome; Garoufalidis, Stavros
2016
Nahm sums, stability and the colored Jones polynomial. Zbl 1334.57021
Garoufalidis, Stavros; Lê, Thang T. Q.
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.
2015
Gluing equations for $$\mathrm{PGL}(n, \mathbb{C})$$-representations of 3-manifolds. Zbl 1347.57014
Garoufalidis, Stavros; Goerner, Matthias; Zickert, Christian
2015
Evaluation of state integrals at rational points. Zbl 1364.81216
Garoufalidis, Stavros; Kashaev, Rinat
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
2015
The Ptolemy field of 3-manifold representations. Zbl 1322.57018
Garoufalidis, Stavros; Goerner, Matthias; Zickert, Christian
2015
Alternating knots, planar graphs, and $$q$$-series. Zbl 1317.57008
Garoufalidis, Stavros; Vuong, Thao
2015
A generating series for Murakami-Ohtsuki-Yamada graph evaluations. Zbl 1312.57026
Garoufalidis, Stavros; Der Veen, Roland van
2014
The quantum content of the gluing equations. Zbl 1283.57017
Dimofte, Tudor; Garoufalidis, Stavros
2013
Irreducibility of $$q$$-difference operators and the knot $$7_{4}$$. Zbl 1311.57017
Garoufalidis, Stavros; Koutschan, Christoph
2013
Asymptotics of classical spin networks. With an appendix by Don Zagier. Zbl 1277.57020
Garoufalidis, Stavros; van der Veen, Roland
2013
Analyticity of the planar limit of a matrix model. Zbl 1271.81168
Garoufalidis, Stavros; Popescu, Ionel
2013
The $$\mathrm{SL}_{3}$$ colored Jones polynomial of the trefoil. Zbl 1271.57036
Garoufalidis, Stavros; Morton, Hugh; Vuong, Thao
2013
Asymptotics of the instantons of Painlevé I. Zbl 1245.34087
Garoufalidis, Stavros; Its, Alexander; Kapaev, Andrei; Mariño, Marcos
2012
Incompressibility criteria for spun-normal surfaces. Zbl 1281.57012
Dunfield, Nathan M.; Garoufalidis, Stavros
2012
The noncommutative $$A$$-polynomial of $$(-2,3,n)$$ pretzel knots. Zbl 1255.57012
Garoufalidis, Stavros; Koutschan, Christoph
2012
Sum-integral interpolators and the Euler-Maclaurin formula for polytopes. Zbl 1266.14040
Garoufalidis, Stavros; Pommersheim, James
2012
Asymptotics of quantum spin networks at a fixed root of unity. Zbl 1241.57026
Garoufalidis, Stavros; van der Veen, Roland
2012
Twisting $$q$$-holonomic sequences by complex roots of unity. Zbl 1323.68599
Garoufalidis, Stavros; Koutschan, Christoph
2012
The Jones slopes of a knot. Zbl 1228.57004
Garoufalidis, Stavros
2011
The degree of a $$q$$-holonomic sequence is a quadratic quasi-polynomial. Zbl 1298.05042
Garoufalidis, Stavros
2011
Asymptotics of the colored Jones function of a knot. Zbl 1239.57029
Garoufalidis, Stavros; Lê, Thang T. Q.
2011
The $$A$$-polynomial of the $$(-2,3,3+2n)$$ pretzel knots. Zbl 1233.57002
Garoufalidis, Stavros; Mattman, Thomas W.
2011
Resurgence of the Kontsevich-Zagier series. Zbl 1238.57016
Costin, Ovidiu; Garoufalidis, Stavros
2011
The $$\mathfrak {sl}_{3}$$ Jones polynomial of the trefoil: a case study of $$q$$-holonomic sequences. Zbl 1227.57004
Garoufalidis, Stavros; Koutschan, Christoph
2011
Knots and tropical curves. Zbl 1241.57008
Garoufalidis, Stavros
2011
What is a sequence of Nilsson type? Zbl 1236.57003
Garoufalidis, Stavros
2011
The non-commutative $$A$$-polynomial of twist knots. Zbl 1222.57008
Garoufalidis, Stavros; Sun, Xinyu
2010
Universality and asymptotics of graph counting problems in non-orientable surfaces. Zbl 1245.05066
Garoufalidis, Stavros; Mariño, Marcos
2010
A new algorithm for the recursion of hypergeometric multisums with improved universal denominator. Zbl 1207.33025
Garoufalidis, Stavros; Sun, Xinyu
2010
Behavior of knot invariants under genus 2 mutation. Zbl 1231.57005
Dunfield, Nathan M.; Garoufalidis, Stavros; Shumakovitch, Alexander; Thistlethwaite, Morwen
2010
$$G$$-functions and multisum versus holonomic sequences. Zbl 1170.33005
Garoufalidis, Stavros
2009
Resurgence of the fractional polylogarithms. Zbl 1201.30044
Costin, Ovidiu; Garoufalidis, Stavros
2009
An extended version of additive $$K$$-theory. Zbl 1200.19004
Garoufalidis, Stavros
2009
Difference and differential equations for the colored Jones function. Zbl 1155.57012
Garoufalidis, Stavros
2008
Chern-Simons theory, analytic continuation and arithmetic. Zbl 1189.57010
Garoufalidis, Stavros
2008
Resurgence of the Euler-MacLaurin summation formula. Zbl 1166.34055
Costin, Ovidiu; Garoufalidis, Stavros
2008
Gevrey series in quantum topology. Zbl 1151.57006
Garoufalidis, Stavros; Lê, Thang T. Q.
2008
Analyticity of the free energy of a closed 3-manifold. Zbl 1172.57007
Garoufalidis, Stavros; Lê, Thang T. Q.; Mariño, Marcos
2008
An Ansatz for the asymptotics of hypergeometric multisums. Zbl 1170.34059
Garoufalidis, Stavros
2008
The quantum MacMahon master theorem. Zbl 1170.05012
Garoufalidis, Stavros; Lê, Thang T. Q.; Zeilberger, Doron
2006
The $$C$$-polynomial of a knot. Zbl 1131.57013
Garoufalidis, Stavros; Sun, Xinyu
2006
Asymptotics of $$q$$-difference equations. Zbl 1144.57005
Garoufalidis, Stavros; Geronimo, Jeffrey S.
2006
A non-commutative formula for the colored Jones function. Zbl 1122.57011
Garoufalidis, Stavros; Loebl, Martin
2006
Is the Jones polynomial of a knot really a polynomial? Zbl 1126.57007
Garoufalidis, Stavros; Lê, Thang Tq
2006
The colored Jones function is $$q$$-holonomic. Zbl 1078.57012
Garoufalidis, Stavros; Lê, Thang T. Q.
2005
Tree-level invariants of three-manifolds, Massey products and the Johnson homomorphism. Zbl 1086.57013
Garoufalidis, Stavros; Levine, Jerome
2005
Random walks and the colored Jones function. Zbl 1092.57011
Garoufalidis, S.; Loebl, M.
2005
Experimental evidence for the Volume Conjecture for the simplest hyperbolic non-2-bridge knot. Zbl 1092.57005
Garoufalidis, Stavros; Lan, Yueheng
2005
On the characteristic and deformation varieties of a knot. Zbl 1080.57014
Garoufalidis, Stavros
2004
A rational noncommutative invariant of boundary links. Zbl 1075.57004
Garoufalidis, Stavros; Kricker, Andrew
2004
The loop expansion of the Kontsevich integral, the null-move and $$S$$-equivalence. Zbl 1052.57011
Garoufalidis, Stavros; Rozansky, Lev
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.
2004
Non-triviality of the $$A$$-polynomial for knots in $$S^3$$. Zbl 1063.57012
Dunfield, Nathan M.; Garoufalidis, Stavros
2004
Finite type invariants of cyclic branched covers. Zbl 1081.57010
Garoufalidis, Stavros; Kricker, Andrew
2004
A conjecture on Khovanov’s invariants. Zbl 1064.57019
Garoufalidis, Stavros
2004
On knots with trivial Alexander polynomial. Zbl 1095.57007
Garoufalidis, Stavros; Teichner, Peter
2004
Garoufalidis, Stavros
2004
A surgery view of boundary links. Zbl 1032.57016
Garoufalidis, Stavros; Kricker, Andrew
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.
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.
2002
The mystery of the brane relation. Zbl 1030.57020
Garoufalidis, Stavros
2002
Analytic invariants of boundary links. Zbl 1009.57014
Garoufalidis, Stavros; Levine, Jerome
2002
Calculus of clovers and finite type invariants of 3-manifolds. Zbl 1066.57015
Garoufalidis, Stavros; Goussarov, Mikhail; Polyak, Michael
2001
Values of zeta functions at negative integers, Dedekind sums and toric geometry. Zbl 1007.11067
Garoufalidis, Stavros; Pommersheim, James E.
2001
Concordance and 1-loop clovers. Zbl 0983.57004
Garoufalidis, Stavros; Levine, Jerome
2001
Homology surgery and invariants of 3-manifolds. Zbl 1009.57022
Garoufalidis, Stavros; Levine, Jerome
2001
Wheels, wheeling, and the Kontsevich integral of the unknot. Zbl 0964.57010
Bar-Natan, Dror; Garoufalidis, Stavros; Rozansky, Lev; Thurston, Dylan P.
2000
The Alexander polynomial and finite type 3-manifold invariants. Zbl 0952.57002
Garoufalidis, Stavros; Habegger, Nathan
2000
Signatures of links and finite type invariants of cyclic branched covers. Zbl 0932.57005
Garoufalidis, Stavros
1999
Applications of quantum invariants in low dimensional topology. Zbl 0892.57005
Garoufalidis, Stavros
1998
On finite type 3-manifold invariants. III: Manifold weight systems. Zbl 0889.57017
1998
Finite type 3-manifold invariants and the structure of the Torelli group. I. Zbl 0895.57004
Garoufalidis, Stavros; Levine, Jerome
1998
Some $$IHX$$-type relations on trivalent graphs and symplectic representation theory. Zbl 1012.57032
Garoufalidis, Stavros; Nakamura, Hiroaki
1998
Finite type 3-manifold invariants, the mapping class group and blinks. Zbl 0917.57009
Garoufalidis, Stavros; Levine, Jerome
1997
On finite type 3-manifold invariants. V: Rational homology 3-spheres. Zbl 0889.57019
1997
On finite type 3-manifold invariants. IV: Comparison of definitions. Zbl 0889.57018
Garoufalidis, Stavros; Levine, Jerome
1997
On the Melvin-Morton-Rozansky conjecture. Zbl 0855.57004
Bar-Natan, Dror; Garoufalidis, Stavros
1996
On finite type 3-manifold invariants. I. Zbl 0889.57015
Garoufalidis, Stavros
1996
On finite type 3-manifold invariants. II. Zbl 0889.57016
Garoufalidis, Stavros; Levine, Jerome
1996
all top 5

#### Cited by 541 Authors

 52 Garoufalidis, Stavros 13 Morozov, Alexei Yurievich 11 Gang, Dongmin 11 Mariño, Marcos 10 Le, Thang Tu Quoc 10 Massuyeau, Gwénaël 10 Meilhan, Jean-Baptiste 10 Mironov, Andrei D. 9 Bar-Natan, Dror 9 Gukov, Sergei 9 Sakasai, Takuya 8 Kalfagianni, Efstratia 7 Dimofte, Tudor Dan 7 Habiro, Kazuo 7 Ohtsuki, Tomotada 7 Sułkowski, Piotr 6 Kricker, Andrew 6 Marché, Julien 6 Milas, Antun 6 Rozansky, Lev 6 Schiappa, Ricardo 6 Takata, Toshie 6 Tran, Anh Tuan 6 van der Veen, Roland 5 Andersen, Jørgen Ellegaard 5 Costin, Ovidiu 5 Falbel, Elisha 5 Lee, Christine Ruey Shan 5 Levine, Jerome P. 5 Moussard, Delphine 5 Osburn, Robert 5 Ramadevi, Pichai 5 Schneiderman, Rob 5 Sikora, Adam S. 5 Teichner, Peter 5 Zickert, Christian K. 4 Aniceto, Inês 4 Bringmann, Kathrin 4 Conant, James 4 Eynard, Bertrand 4 Guilloux, Antonin 4 Hajij, Mustafa 4 Jun, Byungheup 4 Koutschan, Christoph 4 Kucharski, Piotr 4 Lee, Jungyun 4 Lin, Xiao-Song 4 Loebl, Martin 4 Mellor, Blake 4 Moffatt, Iain 4 Morozov, Andreĭ Alekseevich 4 Murakami, Hitoshi 4 Porti, Joan 4 Santamaría, Ricardo Couso 4 Segerman, Henry 3 Bellingeri, Paolo 3 Bene, Alex James 3 Berest, Yuri Yu. 3 Boden, Hans U. 3 Codesido, Santiago 3 Dunfield, Nathan M. 3 Ekholm, Tobias 3 Foata, Dominique C. 3 Fominykh, Evgeny Anatol’evich 3 Futer, David 3 Görner, Matthias 3 Gu, Jie 3 Han, Guo-Niu 3 Hikami, Kazuhiro 3 Il’yutko, Denis Petrovich 3 Kim, Nakwoo 3 Lewark, Lukas 3 Molev, Alexander I. 3 Morita, Shigeyuki 3 Nawata, Satoshi 3 Ng, Lenhard L. 3 Nosaka, Takefumi 3 Park, Sunghyuk 3 Penner, Robert C. 3 Romo, Mauricio 3 Rubinstein, J. Hyam 3 Salvy, Bruno 3 Samuelson, Peter 3 Singh, Vivek Kumar 3 Sleptsov, Alexey 3 Stoimenow, Alexander 3 Ünsal, Mithat 3 Vuong, Thao 3 Wong, Helen M. 3 Yamazaki, Masahito 2 Armond, Cody W. 2 Bell, Jason P. 2 Bergeron, Nicolas 2 Borinsky, Michael 2 Borot, Gaëtan 2 Bostan, Alin 2 Chae, Hijoon 2 Champanerkar, Abhijit 2 Chan, Chuantsung 2 Chen, Haimiao ...and 441 more Authors
all top 5

#### Cited in 118 Serials

 56 Journal of Knot Theory and its Ramifications 55 Journal of High Energy Physics 48 Algebraic & Geometric Topology 25 Geometry & Topology 24 Advances in Mathematics 17 Communications in Mathematical Physics 17 Transactions of the American Mathematical Society 15 Proceedings of the American Mathematical Society 11 International Journal of Mathematics 10 Topology and its Applications 8 Letters in Mathematical Physics 8 Geometriae Dedicata 7 Duke Mathematical Journal 7 Mathematische Annalen 7 Advances in Applied Mathematics 7 Journal of Mathematical Sciences (New York) 7 Annales Henri Poincaré 7 Quantum Topology 6 Journal of Algebra 6 Research in the Mathematical Sciences 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Nuclear Physics. B 5 Theoretical and Mathematical Physics 5 Journal of Combinatorial Theory. Series A 5 European Journal of Combinatorics 5 Experimental Mathematics 5 The Ramanujan Journal 4 Journal of Pure and Applied Algebra 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Journal of Physics A: Mathematical and Theoretical 3 Journal of Mathematical Physics 3 Journal of Geometry and Physics 3 Annales de l’Institut Fourier 3 Inventiones Mathematicae 3 Journal of Number Theory 3 Mathematische Zeitschrift 3 Osaka Journal of Mathematics 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Selecta Mathematica. New Series 2 International Journal of Modern Physics A 2 Israel Journal of Mathematics 2 Journal of Statistical Physics 2 Acta Mathematica Vietnamica 2 Compositio Mathematica 2 Indiana University Mathematics Journal 2 Journal of the Mathematical Society of Japan 2 Journal für die Reine und Angewandte Mathematik 2 Michigan Mathematical Journal 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Combinatorica 2 Probability Theory and Related Fields 2 Constructive Approximation 2 Bulletin of the American Mathematical Society. New Series 2 Applied and Computational Harmonic Analysis 2 The Electronic Journal of Combinatorics 2 Annals of Combinatorics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Topology 2 Journal of Topology and Analysis 2 Journal de l’École Polytechnique – Mathématiques 2 Winter Braids Lecture Notes 1 Modern Physics Letters A 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Communications on Pure and Applied Mathematics 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Journal of Mathematical Analysis and Applications 1 Russian Mathematical Surveys 1 Chaos, Solitons and Fractals 1 Fortschritte der Physik 1 Acta Mathematica 1 The Annals of Probability 1 Functional Analysis and its Applications 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 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Results in Mathematics 1 Tokyo Journal of Mathematics 1 Bulletin of the Korean Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Order 1 Boletim da Sociedade Portuguesa de Matemática 1 Journal of Symbolic Computation 1 Sugaku Expositions 1 Differential Geometry and its Applications 1 Numerical Algorithms 1 Linear Algebra and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 Indagationes Mathematicae. New Series 1 Journal of Algebraic Combinatorics 1 Séminaire Lotharingien de Combinatoire ...and 18 more Serials
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#### Cited in 43 Fields

 363 Manifolds and cell complexes (57-XX) 128 Quantum theory (81-XX) 49 Algebraic geometry (14-XX) 48 Combinatorics (05-XX) 44 Group theory and generalizations (20-XX) 42 Nonassociative rings and algebras (17-XX) 32 Differential geometry (53-XX) 31 Relativity and gravitational theory (83-XX) 30 Number theory (11-XX) 28 Global analysis, analysis on manifolds (58-XX) 21 Special functions (33-XX) 17 Associative rings and algebras (16-XX) 15 Several complex variables and analytic spaces (32-XX) 13 Algebraic topology (55-XX) 11 Ordinary differential equations (34-XX) 10 Topological groups, Lie groups (22-XX) 10 Probability theory and stochastic processes (60-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Commutative algebra (13-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Category theory; homological algebra (18-XX) 6 Difference and functional equations (39-XX) 6 Functional analysis (46-XX) 6 Convex and discrete geometry (52-XX) 5 Functions of a complex variable (30-XX) 5 Computer science (68-XX) 4 Partial differential equations (35-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Operator theory (47-XX) 3 Geometry (51-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 $$K$$-theory (19-XX) 2 Sequences, series, summability (40-XX) 2 Statistics (62-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX)