| 126. |
With R. Kashaev,
The descendant colored Jones polynomials,
Pure and Applied Mathematics Quarterly 19 (2023) no. 5,
2307-2334.
|
| 125. |
With B. Jeon,
On the trace fields of hyperbolic Dehn fillings,
Bulletin London Math. Soc., (2024)
1-24.
|
| 124. |
With E. Scheidegger,
On the quantum K-theory of the quintic,
SIGMA, 18 (2022)
021 20 pages.
|
| 123. |
With J. Gu and M. Marino,
Peacock patterns and resurgence in complex Chern-Simons theory,
Research in Mathematical Sciences 10 (2023) no. 3, Paper No. 29.
1-67.
|
| 122. |
With J. Gu and M. Marino,
The resurgent structure of quantum knot invariants,
Commun. Math. Physics, 469--493 386 (2021),
469-493.
|
| 121. |
With N. Dunfield and H. Rubinstein,
Counting essential surfaces in 3-manifolds,
Inventiones Math. 228 (2022), no. 2,
717-775.
|
| 120. |
With J. Brown, T. Dimofte
and N. Geer,
The ADO invariants are a q-holonomic family,
preprint 2020.
|
| 119. |
With R. van der Veen,
The FKB invariant is the 3d index,
J. Quantum Topology 13 (2022),
525-538.
|
| 118. |
With R. Kashaev,
Resurgence of Faddeev's quantum dilogarithm,
IRMA Lect. Math. Theor. Phys., 33 (2021),
Eur. Math. Soc., Zurich,
257-271.
|
| 117. |
With R. Detcherry,
A diagrammatic approach to the AJ Conjecture,
Mathematische Annalen, 378 (2020),
447-484.
|
| 116. |
With D. Zagier,
Asymptotics of Nahm sums at roots of unity,
Ramanujan J., 55 (2021) no. 1,
219-238.
|
| 115. |
With C. Lee and R. van der Veen,
The Slope Conjecture for Montesinos knots,
International J. Mathematics, 31 (2020) no. 7,
2050056 66 pp.
|
| 114. |
With E. Getzler,
Graph complexes and the symplectic character of the Torelli group,
preprint 2017.
Computer files: Symplectic character data
|
| 113. |
With R. Kashaev,
A meromorphic extension of the 3D Index,
Research in mathematical Sciences, 6 (2019) no. 1,
6:8.
|
| 112. |
With F. Calegari and D. Zagier,
Bloch groups, algebraic K-theory, units and Nahm's Conjecture,
Ann.Sci. Ec.Normal.Sup. 56 (2023), no. 2,
383-426.
|
| 111. |
With Z. Dansco,
A construction of the graphic matroid from the lattice of integer flows,
preprint 2016.
|
| 110. |
With I. Moffatt and Dylan P. Thurston,
Non-peripheral ideal decompositions of alternating knots,
preprint 2016.
|
| 109. |
With A. Lauda and T.T.Q. Le,
The colored HOMFLY-PT polynomial is q-holonomic,
Duke Math. J., 167 (2018)
397-447.
|
| 108. |
with C. Hodgson, N. Hoffman and H. Rubinstein,
The 3D-index and normal surfaces,
Illinois J. Mathematics, 60 (2016)
289-353.
|
| 107. |
With T.T.Q. Le,
A survey of q-holonomic functions,
L'Enseignement Mathematique, 62 (2016)
501-525.
|
| 106. |
With A. Reid,
Constructing 1-cusped isospectral non-isometric hyperbolic 3-manifolds,
J. Topology and Analysis, 10 (2018)
1-25.
Computer files: Isospectral data
|
| 105. |
With P. Kucharski and P. Sulkowski,
Knots, BPS states, and algebraic curves,
Commun. Math. Physics, 346 (2016)
75-113.
|
| 104. |
With E. Sabo and S. Scott,
Exact computation of the n-loop invariants of knots,
Experimental Math. 25 (2016)
125-129.
Computer files: n-loop data |
| 103. |
With E. Fominykh, M. Goerner, V. Tarkaev and
A. Vesnin,
A census of tetrahedral hyperbolic manifolds,
Experimental Math. 25 (2016)
466-481.
Computer files:
Tetrahedral census
|
| 102. |
With T. Dimofte,
Quantum modularity and complex Chern-Simons theory,
Commun. Number Theory Phys., 12 (2018), no. 1,
1-52.
|
| 101. |
With R. Kashaev,
Evaluation of state integrals at rational points,
Commun. Number Theory Phys., 9 (2015)
549-582.
|
| 100. |
With R. van der Veen,
Quadratic integer programming and the slope conjecture,
New York J. Mathematics, 22 (2016)
907-932.
|
| 99. |
The Newton polytope of a recurrent sequence of polynomials,
preprint 2014.
|
| 98. |
Recurrent sequences of polynomials in 3-dimensional topology,
Acta Mathematica Vietnamica, 39 (2014)
541-548.
|
| 97. |
With M. Goerner and C. Zickert,
The Ptolemy field of 3-manifold-representations,
Algebraic and Geometric Topology, 15 (2015)
371-397.
Computer files: Unhyperbolic
|
| 96. |
With R. van der Veen,
A generating series for Murakami-Ohtsuki-Yamada graph evaluations,
Acta Mathematica Vietnamica, 39 (2014)
529-539.
|
| 95. |
With T. Vuong,
A stability conjecture for the colored Jones polynomial,
Topology Proceedings, 49 (2017)
211-249.
|
| 94. |
With C. Zickert,
The symplectic properties of the PGL(n,C) gluing equations,
Quantum Topology, 7 (2016) no. 3
505-551.
Computer files: Unhyperbolic
|
| 93. |
With S. Norin and T. Vuong,
Flag algebras and the stable coefficients of the Jones polynomial,
European J. Combinatorics, 51 (2016)
165-189.
|
| 92. |
With R. Kashaev,
From state integrals to q-series,
Math. Res. Letters, 24 (2017)
781-801.
|
| 91. |
With T. Vuong,
Alternating knots, planar graphs and q-series,
Ramanujan J., 36 (2015)
501-527.
Computer files: Phi_G data
|
| 90. |
The colored HOMFLY polynomial is q-holonomic,
preprint 2012. Computer files:
HOMFLY twist knot data
|
| 89. |
With C. Koutschan,
Irreducibility of q-difference operators and the knot 7_4,
Algebraic and Geometric Topology, 13 (2013)
3261-3286.
Computer files: double twist data
|
| 88. |
with C. Hodgson, H. Rubinstein and H. Segerman,
1-efficient triangulations and the index of a cusped hyperbolic 3-manifold,
Geometry and Topology, 19 (2015)
2619-2689.
Computer files: 3D index data
|
| 87. |
The 3D index of an ideal triangulation and angle structures,
Ramanujan J. 40 (2016)
573-604.
|
| 86. |
With M. Goerner and C. Zickert,
Gluing equations for PGL(n,C)-representations of 3-manifolds,
Algebraic and Geometric Topology, 15 (2015)
565-622.
Computer files: Unhyperbolic
|
| 85. |
With T. Dimofte,
The quantum content of the gluing equations,
Geometry and Topology, 17 (2013)
1253-1315.
|
| 84. |
Quantum Knot Invariants,
Arbeitstagung talk Bonn 2011,
Research in the Mathematical Sciences, 5 (2018), no. 1,
Paper No. 11, 17.
|
| 83. |
With D.P. Thurston and C. Zickert,
The complex volume of SL(n,C) representations of 3-manifolds,
Duke Math J., 164 (2015), no. 11,
2099-2160.
|
| 82. |
With C. Koutschan,
Twisting q-holonomic sequences by complex roots of unity,
ISSAC (2012)
179-186.
Computer files:
twisting qholonomic data
|
| 81. |
With T.T.Q. Le,
Nahm sums, stability and the colored Jones polynomial,
Research in Mathematical Sciences, 2 (2015)
1-55.
|
| 80. |
With N. Dunfield,
Incompressibility criteria for spun-normal surfaces,
Transactions of the AMS 364 (2012)
6109-6137.
|
| 79. |
With T. Mattman,
The A-polynomial of the (-2,3,3+2n) pretzel knots,
New York Journal of Mathematics 17 (2011)
269-279.
Computer files: pretzel
A-polynomial data
|
| 78. |
With C. Koutschan,
The non-commutative A-polynomial of the (-2,3,n) pretzel knots,
Experimental Mathematics 21:3 (2012)
241-251.
Computer files: pretzel data
|
| 77. |
With C. Koutschan,
The SL_3 Jones polynomial of the trefoil: a case study of q-holonomic sequences,
Advances in Applied Mathematics 47 (2011)
829-839.
|
| 76. |
The Newton polygon of a recurrence sequence of polynomials and its role in TQFT,
preprint 2010.
|
| 75. |
With H. Morton and T. Vuong,
The SL_3 colored Jones polynomial of the trefoil,
Proceedings of the AMS 141:6 (2013)
2209-2220.
|
| 74. |
With I. Popescu,
Analyticity of the planar limit of a matrix model,
Annales Henri Poincare, 14 (2013)
499-565.
|
| 73. |
What is a sequence of Nilsson type?,
Contemporary Mathematics, 541 (2011)
145-157.
|
| 72. |
The degree of a q-holonomic sequence is a quadratic quasi-polynomial,
Electronic Journal of Combinatorics 18:2 (2011)
research article P4, 23 pages.
|
| 71. |
Knots and tropical curves,
Contemporary Mathematics, 541 (2011)
83-111.
|
| 70. |
With R. van der Veen,
Asymptotics of quantum spin networks at a fixed root of unity,
Mathematische Annalen, 352 (2012)
987-1012.
|
| 69. |
With A. Its, A. Kapaev and M. Marino,
Asymptotics of the instantons of Painleve I,
Int. Math. Res. Not. IMRN, 3 (2012)
561-606.
|
| 68. |
The Jones slopes of a knot,
Quantum Topology, 2 (2011)
43-69.
|
| 67. |
With J. Pommersheim,
Sum-integral interpolators and the Euler-Maclaurin formula for polytopes,
Transactions of the AMS, 364 (2012)
2933-2958.
|
| 66. |
With J. Dubois,
Rationality of the SL(2,C)-Reidemeister torsion in dimension 3,
Topology Proceedings, 47 (2016)
115-134.
|
| 65. |
With R. van der Veen,
Asymptotics of classical spin networks,
Geometry and Topology, 17 (2013)
1-37.
|
| 64. |
With M. Marino,
Universality and asymptotics of graph counting problems in non-orientable surfaces,
Journal of Combinatorial Theory A, 117 (2010)
715-740.
|
| 63. |
With X. Sun,
A new algorithm for the recursion of hypergeometric
multisums,
Contemporary Mathematics, 517 (2011)
143-156.
Computer files: Multisum data
|
| 62. |
With T.T.Q. Le and M. Marino,
Analyticity of the free energy of a closed 3-manifold,
SIGMA, 4 (2008)
080 20 pages.
|
| 61. |
With X. Sun,
The non-commutative A-polynomial of twist knots,
Journal of Knot Theory and Its Ramifications, 19 (2010)
1571-1595.
Computer files: twist knot data
|
| 60. |
Chern-Simons theory, analytic continuation and arithmetic,
Acta Mathematica Vietnamica, 33 (2008)
335-362.
|
| 59. |
G-functions and multisum versus holonomic sequences,
Advances in Mathematics, 220 (2009)
1945-1955.
|
| 58. |
With J. Belissard,
Algebraic generating functions of matrices over a group-ring,
Chelyabinsk Math Journal, 3 (358) (2015)
50-61.
|
| 57. |
An ansatz for the asymptotics of hypergeometric multisums,
Advances in Applied Mathematics, 41 (2008)
423-451.
|
| 56. |
An extended version of additive K-theory,
Journal of K-Theory, 4 (2009)
391-403.
|
| 55. |
q-terms, singularities and the extended
Bloch group,
preprint 2007.
|
| 54. |
With O. Costin,
Resurgence of the Euler-MacLaurin summation formula,
Annales de l' Institut Fourier 58 (2008)
893-914.
|
| 53. |
With O. Costin,
Resurgence of the fractional
polylogarithms,
Mathematical Research Letters, 16 (2009) no.5
817-826.
|
| 52. |
With O. Costin,
Resurgence of the Kontsevich-Zagier power series,
Annales de l' Institut Fourier 61 (2011)
1225-1258.
|
| 51. |
With T.T.Q. Le,
Gevrey series in quantum topology,
J. Reine Angew. Math., 618 (2008)
169-195.
|
| 50. |
With N. Dunfield, A. Shumakovitch and
M. Thislethwaite,
Behavior of knot invariants under genus 2 mutation,
New York Journal of Mathematics 16 (2010)
99-123.
|
| 49. |
With T.T.Q. Le,
Is the Jones polynomial of a knot really a polynomial?
Proceedings of the KauffmanFest,
Journal of Knot Theory and its Ramifications, 15 (2006)
1-18.
|
| 48. |
With M. Marino,
On Chern-Simons Matrix Models,
preprint 2006.
|
| 47. |
With T.T.Q. Le,
Asymptotics of the colored Jones function of a knot,
Geometry and Topology 15 (2011)
2135-2180.
|
| 46. |
With X. Sun,
The C-polynomial of a knot,
Algebraic and Geometric Topology, 6 (2006)
1001-1031.
|
| 45. |
With M. Loebl,
A non-commutative formula for the colored Jones function,
Mathematische Annalen, 336 (2006)
867-900.
|
| 44. |
With Y. Lan,
Experimental evidence for the Volume Conjecture of the simplest hyperbolic
non-2-bridge knot,
Algebraic and Geometric Topology, 5 (2005)
379-403.
|
| 43. |
With N. Dunfield,
The nontriviality of the A-polynomial for knots in S^3,
Algebraic and Geometric Topology, 4 (2004)
1145-1153.
|
| 42. |
With J. Geronimo,
Asymptotics of q-difference equations,
Contemporary Math., 416 (2006)
83-114. |
| 41. |
Does the Jones polynomial determine the signature of a knot?
preprint 2003.
|
| 40. |
On the characteristic and deformation varieties of a knot,
Proceedings of the Casson Fest, Geometry and Topology
Monographs, 7 (2004)
291-309.
|
| 39. |
With T.T.Q. Le,
The colored Jones function is q-holonomic,
Geometry and Topology, 9 (2005)
1253-1293.
|
| 38. |
Difference and differential equations for the colored Jones function,
Journal of Knot Theory and its Ramifications, 17 (2008)
495-510.
|
| 37. |
With T.T.Q. Le and D. Zeilberger,
The quantum MacMahon Master Theorem,
Proc. Natl. Academy of Sciences, 103 (2006)
13928-13931.
|
| 36. |
Links with trivial Alexander module and nontrivial Milnor invariants,
Chelyabinsk Math Journal, 164 (2015)
209-2160.
|
| 35. |
With A. Kricker,
A surgery view of boundary links,
Math. Annalen, 327 (2003)
103-115.
|
| 34. |
With P. Teichner,
On knots with trivial Alexander polynomial,
Journal of Diff. Geometry, 67 (2004)
763-789.
|
| 33. |
With M. Loebl,
Random walks and the colored Jones function,
Combinatorica, 25 (2005)
651-671.
|
| 32. |
Periodicity of Goussarov-Vassiliev knot invariants,
Geom. and Topology Monographs, 4 (2002)
43-54.
|
| 31. |
Beads: From Lie algebras to Lie groups,
preprint 2002.
|
| 30. |
A conjecture on Khovanov's invariants,
Fundamenta Mathematicae, 184 (2004)
99-101.
|
| 29. |
With A. Kricker,
Finite type invariants of cyclic branched covers,
Topology, 43 (2004)
1247-1283.
|
| 28. |
With A. Kricker,
A rational noncommutative invariant of boundary links,
Geometry and Topology, 8 (2004)
115-204.
|
| 27. |
With J. Levine,
Concordance and 1-loop clovers,
Algebraic and Geometric Topology, 1 (2001)
687-697.
|
| 26. |
With J. Levine,
Analytic invariants of boundary links,
Journal of Knot Theory and its Ramifications, 11 (2002)
283-293.
|
| 25. |
With J. Levine,
Homology surgery and invariants of 3-manifolds,
Geometry and Topology, 5 (2001)
551-578.
|
| 24. |
With M. Goussarov and M. Polyak,
Calculus of clovers and finite type invariants of 3-manifolds,
Geometry and Topology, 5 (2001)
75-108.
|
| 23. |
Whitehead doubling persists,
Algebraic and Geometric Topology, 4 (2004)
935-942.
|
| 22. |
With L. Rozansky,
The loop expansion of the Kontsevich integral, the null-move and S-equivalence,
Topology, 43 (2004)
1183-1210.
|
| 21. |
The mystery of the brane relation,
Journal of Knot Theory and its Ramifications, 11 (2002)
725-738.
|
| 20. |
With J. Levine,
Tree-level invariants of 3-manifolds, Massey products and the Johnson homomorphism,
Graphs and Patterns in Mathematics and Theoretical Physics,
Proceedings Symp. Pure Math. 73 (2005)
173-205.
|
| 19. |
Signatures of links and finite type invariants of cyclic branched covers,
Contemporary Math. AMS. 231 (1999)
87-97.
|
| 18. |
With D. Bar-Natan,
L. Rozansky and D. Thurston,
The Aarhus integral of rational homology 3-spheres III:
The relation with the Le-Murakami-Ohtsuki invariant,
Selecta Math. 10 (2004)
305-324.
|
| 17. |
With D. Bar-Natan,
L. Rozansky and D. Thurston,
The Aarhus integral of rational homology 3-spheres II:
Invariance and universality,
Selecta Math. 8 (2002)
341-371.
|
| 16. |
With D. Bar-Natan, L.
Rozansky and D. Thurston,
The Aarhus integral of rational homology 3-spheres I:
a highly nontrivial flat connection on S^3,
Selecta Math. 8 (2002)
315-339.
|
| 15. |
Applications of the lantern identity,
Journal of Knot Theory and its Ramifications, 10
(2001)
303-307.
|
| 14. |
With H. Nakamura,
Some IHX-type relations and symplectic representation theory,
Math. Res. Letters, 5 (1998)
391-402.
|
| 13. |
A reappearance of wheels,
Journal of Knot Theory and Its Ramifications, 7 (1998)
1065-1071.
|
| 12. |
With N. Habegger,
The Alexander polynomial and finite type 3-manifold invariants,
Math. Annalen, 316 (2000)
485-497.
|
| 11. |
With J. Pommersheim,
Values of zeta functions at negative integers, Dedekind sums and toric varieties,
Journal of Amer. Math. Soc. 14 (2001)
1-23.
|
| 10. |
With D. Bar-Natan, L.
Rozansky and D. Thurston,
Wheels, wheeling and the Kontsevich integral of the unknot,
Israel Journal of Math, 119 (2000)
217-238.
|
| 9. |
With J. Levine,
Finite type 3-manifold invariants and the Torelli group I,
Inventiones Math., 131 (1998)
541-594.
|
| 8. |
With J. Levine,
Finite type 3-manifold invariants, the mapping class group and blinks,
Journal of Differential Geometry, 47 (1997)
257-320.
|
| 7. |
With T. Ohtsuki,
On finite type invariants of 3-manifolds V: Rational Homology 3-spheres,
Procceedings of the Aarhus conference, Geometry and
Physics, Marcel Dekker (1996)
445-457.
|
| 6. |
With J. Levine,
On finite type invariants of 3-manifolds IV: Comparison of Definitions,
Math. Proc. Cambridge Phil. Soc, 12 (1997)
291-300.
|
| 5. |
With T. Ohtsuki,
On finite type invariants of 3-manifolds III: Manifold Weight Systems,
Topology, 37 (1998)
227-244.
|
| 4. |
With J. Levine,
On finite type invariants of 3-manifolds II,
Mathematische Annalen, 306 (1996)
691-718.
|
| 3. |
On finite type invariants of 3-manifolds I,
Journal of Knot Theory and Its Ramifications, 5 (1996)
441-462.
|
| 2. |
With D. Bar-Natan,
On the Melvin-Morton-Rozansky conjecture,
Inventiones Math., 125 (1996)
103-133.
|
| 1. |
Applications of TQFT invariants in low dimensional topology,
Topology, 37 (1998)
219-224.
|