Edit Profile (opens in new tab) Garoufalidis, Stavros Co-Author Distance Author ID: garoufalidis.stavros Published as: Garoufalidis, Stavros; Garoufalidis, S.; Garoufalidis, St. more...less Homepage: https://people.mpim-bonn.mpg.de/stavros/ External Links: MGP · ORCID · Wikidata · dblp Documents Indexed: 150 Publications since 1996, including 34 Additional arXiv Preprints 1 Further Contribution Co-Authors: 110 Co-Authors with 122 Joint Publications 2,389 Co-Co-Authors 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 all top 5 Fields 109 Manifolds and cell complexes (57-XX) 13 Special functions (33-XX) 12 Quantum theory (81-XX) 8 Combinatorics (05-XX) 6 Number theory (11-XX) 5 Algebraic geometry (14-XX) 5 Difference and functional equations (39-XX) 3 Nonassociative rings and algebras (17-XX) 3 \(K\)-theory (19-XX) 3 Group theory and generalizations (20-XX) 3 Ordinary differential equations (34-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Differential geometry (53-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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. 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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. 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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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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