Fetching the paper…
Reading the bibliography…
The partition function of complex Chern-Simons theory on a 3-manifold with torus boundary reduces to a finite dimensional state-integral which is a holomorphic function of a complexified Planck's constant $\tau$ in the complex cut plane and an entire function of a complex parameter $u$.
by same author, Exponential BPS graphs and D brane counting on toric Calabi-Yau threefolds: Part I , 1910.05296
1910
Earlier work this paper cites.
Kazuhiro Hikami, Generalized volume conjecture and the A A -polynomials: the Neumann-Zagier potential function as a classical limit of the partition function , J. Geom. Phys. 57
1940
Earlier work this paper cites.
William Thurston, The geometry and topology of 3-manifolds , Universitext, Springer-Verlag, Berlin, 1977, Lecture notes, Princeton
1977
Earlier work this paper cites.
Carl Bender and Steven Orszag, Advanced mathematical methods for scientists and engineers. I , Springer-Verlag, New York, 1999, Asymptotic methods and perturbation theory, Reprint of the 1978 original
1978
Earlier work this paper cites.
Daniel S. Kubert and Serge Lang, Modular units , Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Science], vol. 244, Springer-Verlag, New York-Berlin, 1981
1981
Earlier work this paper cites.
Andre Voros, The return of the quartic oscillator: the complex WKB method , Ann. Inst. H. Poincaré Sect. A (N.S.) 39
1983
Earlier work this paper cites.
Martin Eichler and Don Zagier, The theory of Jacobi forms , Progress in Mathematics, vol. 55, Birkhäuser Boston, Inc., Boston, MA, 1985
1985
Earlier work this paper cites.
Walter D. Neumann and Don Zagier, Volumes of hyperbolic three-manifolds , Topology 24
1985
Earlier work this paper cites.
Christopher Beem, Tudor Dimofte, and Sara Pasquetti, Holomorphic Blocks in Three Dimensions , JHEP 12
1986
Earlier work this paper cites.
Vaughan Jones, Hecke algebra representations of braid groups and link polynomials , Ann. of Math. (2) 126
1987
Earlier work this paper cites.
Edward Witten, Quantum field theory and the Jones polynomial , Comm. Math. Phys. 121
1989
Earlier work this paper cites.
Doron Zeilberger, A holonomic systems approach to special functions identities , J. Comput. Appl. Math. 32
1990
Earlier work this paper cites.
by same author, Quantization of Chern-Simons gauge theory with complex gauge group , Comm. Math. Phys. 137
1991
Earlier work this paper cites.
Rene Francois Swarttouw, The Hahn-Exton q-Bessel function , ProQuest LLC, Ann Arbor, MI, 1992, Thesis (Dr.)–Technische Universiteit Delft (The Netherlands)
1992
Earlier work this paper cites.
Herbert S. Wilf and Doron Zeilberger, An algorithmic proof theory for hypergeometric (ordinary and “ q q ”) multisum/integral identities , Invent. Math. 108
1992
Earlier work this paper cites.
J. Zinn-Justin, Quantum field theory and critical phenomena , second ed., International Series of Monographs on Physics, vol. 85, The Clarendon Press, Oxford University Press, New York, 1993, Oxford Science Publications
1993
Earlier work this paper cites.
Daryl Cooper, Marc Culler, Henry Gillet, Daryl Long, and Peter Shalen, Plane curves associated to character varieties of 3 3 -manifolds , Invent. Math. 118
1994
Earlier work this paper cites.
Ludwig Faddeev, Discrete Heisenberg-Weyl group and modular group , Lett. Math. Phys. 34
1995
Earlier work this paper cites.
Albrecht Klemm, Wolfgang Lerche, Peter Mayr, Cumrun Vafa, and Nicholas Warner, Self-dual strings and N = 2 N=2 supersymmetric field theory , Nuclear Phys. B 477
1996
Earlier work this paper cites.
Marko Petkovsek, Herbert S. Wilf, and Doron Zeilberger, A = B A=B , A K Peters Ltd., Wellesley, MA, 1996, With a foreword by Donald E. Knuth, With a separately available computer disk
1996
Earlier work this paper cites.
2001
Earlier work this paper cites.
Stavros Garoufalidis, On the characteristic and deformation varieties of a knot , Proceedings of the Casson Fest, Geom. Topol. Monogr., vol. 7, Geom. Topol. Publ., Coventry, 2004, pp. 291–309 (electronic)
2004
Earlier work this paper cites.
Stavros Garoufalidis and Thang T. Q. Lê, The colored Jones function is q q -holonomic , Geom. Topol. 9
2005
Earlier work this paper cites.
Sergei Gukov, Three-dimensional quantum gravity, Chern-Simons theory, and the A-polynomial , Comm. Math. Phys. 255
2005
Cited alongside, same era.
Stavros Garoufalidis and Jeffrey Geronimo, Asymptotics of q q -difference equations , Primes and knots, Contemp. Math., vol. 416, Amer. Math. Soc., Providence, RI, 2006, pp. 83–114
2006
Cited alongside, same era.
Peter Miller, Applied asymptotic analysis , Graduate Studies in Mathematics, vol. 75, American Mathematical Society, Providence, RI, 2006
2006
Cited alongside, same era.
Stavros Garoufalidis, Chern-Simons theory, analytic continuation and arithmetic , Acta Math. Vietnam. 33
2008
Cited alongside, same era.
2008
by same author, Wall-crossing structures in Donaldson-Thomas invariants, integrable systems and mirror symmetry , Homological mirror symmetry and tropical geometry, Lect. Notes Unione Mat. Ital., vol. 15, Springer, Cham, 2014, pp. 197–308
2014
Later among the works it cites.
Marcos Mariño, Lectures on non-perturbative effects in large N N gauge theories, matrix models and strings , Fortsch. Phys. 62
2014
Later among the works it cites.
Tudor Dimofte, Complex Chern-Simons theory at level k k via the 3d-3d correspondence , Comm. Math. Phys. 339
2015
Later among the works it cites.
Stavros Garoufalidis, Craig Hodgson, J. Hyam Rubinstein, and Henry Segerman, 1-efficient triangulations and the index of a cusped hyperbolic 3-manifold , Geom. Topol. 19
2015
Later among the works it cites.
by same author, Instantons and large N N . An introduction to non-perturbative methods in quantum field theory , Cambridge University Press, 2015
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Ovidiu Costin, Asymptotics and Borel summability , Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics, vol. 141, CRC Press, Boca Raton, FL, 2009
2009
Cited alongside, same era.
Tudor Dimofte, Sergei Gukov, Jonatan Lenells, and Don Zagier, Exact results for perturbative Chern-Simons theory with complex gauge group , Commun. Number Theory Phys. 3
2009
Cited alongside, same era.
Christoph Koutschan, Advanced applications of the holonomic systems approach , Ph.D. thesis, RISC, Johannes Kepler University, Linz, Austria, 2009
2009
Cited alongside, same era.
Davide Gaiotto, Gregory W. Moore, and Andrew Neitzke, Four-dimensional wall-crossing via three-dimensional field theory , Comm. Math. Phys. 299
2010
Cited alongside, same era.
by same author, HolonomicFunctions (user’s guide) , Tech. Report 10-01, RISC Report Series, Johannes Kepler University Linz, 2010
2010
Cited alongside, same era.
Ovidiu Costin and Stavros Garoufalidis, Resurgence of the Kontsevich-Zagier series , Ann. Inst. Fourier (Grenoble) 61
2011
Cited alongside, same era.
by same author, Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants , Commun. Number Theory Phys. 5
2011
Cited alongside, same era.
2015
Later among the works it cites.
Stavros Garoufalidis and Thang T. Q. Lê, A survey of q q -holonomic functions , Enseign. Math. 62
2016
Later among the works it cites.
2016
Later among the works it cites.
Claude Mitschi and David Sauzin, Divergent series, summability and resurgence. I , Lecture Notes in Mathematics, vol. 2153, Springer, 2016
2016
Later among the works it cites.
Ricardo Couso-Santamaría, Marcos Mariño, and Ricardo Schiappa, Resurgence matches quantization , J. Phys. A 50
2017
Later among the works it cites.
by same author, Perturbative and nonperturbative aspects of complex Chern-Simons theory , J. Phys. A 50
2017
Later among the works it cites.
Richard Eager, Sam Alexandre Selmani, and Johannes Walcher, Exponential Networks and Representations of Quivers , JHEP 08
2017
Later among the works it cites.
Stavros Garoufalidis and Rinat Kashaev, From state integrals to q q -series , Math. Res. Lett. 24
2017
Later among the works it cites.
Marcos Mariño and Szabolcs Zakany, Exact eigenfunctions and the open topological string , J. Phys. A 50
2017
Later among the works it cites.
Dawei Chen, Martin Möller, and Don Zagier, Quasimodularity and large genus limits of Siegel-Veech constants , J. Amer. Math. Soc. 31
2018
Later among the works it cites.
Dongmin Gang and Yasuyuki Hatsuda, S-duality resurgence in SL ( 2 ) \rm SL(2) Chern-Simons theory , J. High Energy Phys. (2018), no. 7, 053, front matter+23
2018
Later among the works it cites.
Stavros Garoufalidis, Aaron D. Lauda, and Thang T. Q. Lê, The colored HOMFLYPT function is q q -holonomic , Duke Math. J. 167
2018
Later among the works it cites.
Inês Aniceto, Gökçe Başar, and Ricardo Schiappa, A primer on resurgent transseries and their asymptotics , Phys. Rep. 809
2019
Later among the works it cites.
Sibasish Banerjee, Pietro Longhi, and Mauricio Romo, Exploring 5d BPS Spectra with Exponential Networks , Annales Henri Poincare 20
2019
Later among the works it cites.
2020
Closest in time.
Maxim Kontsevich, Exponential integrals, Lefschetz thimbles and linear resurgence , June 2020, ReNewQuantum seminar, https://renewquantum.eu/docs/Lecture_slides_MaximKontsevich_June2020.pdf , 2020
2020
Closest in time.
Stavros Garoufalidis, Sameer Murthy, and Don Zagier, Multiple sine functions and meromorphic quantum jacobi forms , Preprint 2021
2021
Closest in time.
Stavros Garoufalidis and Don Zagier, Knots and their related q q -series , Preprint 2021
2021
Closest in time.
by same author, Knots, perturbative series and quantum modularity , Preprint 2021
2021
Closest in time.