Fetching the paper…
Reading the bibliography…
The title of this article refers to analytic continuation of three-dimensional Chern-Simons gauge theory away from integer values of the usual coupling parameter k, to explore questions such as the volume conjecture, or analytic continuation of three-dimensional quantum gravity (to the extent that it can be described by gauge theory) from Lorentzian to Euclidean signature.
D. B. Ray and I. M. Singer, “ R R -Torsion And The Laplacian On Riemannian Manifolds,” Adv. Math. 7
1971
Earlier work this paper cites.
M. V. Fedorjuk, “The Asymptotics Of The Fourier Transform Of The Exponential Function Of A Polynomial,” Soviet Math. Doklady 17
1976
Earlier work this paper cites.
W. Nahm, “The Construction Of All Self-Dual Multimonopoles By The ADHM Method,” in Monopoles And Quantum Field Theory
1982
Earlier work this paper cites.
Frédéric Pham, “Vanishing Homologies And The n n Variable Saddlepoint Method,” Proc. Symp. Pure Math. 40
1983
Earlier work this paper cites.
D. Johnson and J. Millson, “Deformation Spaces Associated To Compact Hyperbolic Manifolds,” in Discrete Groups In Geometry And Analysis: Papers In Honor of G. D. Mostow,
1987
Earlier work this paper cites.
V. I. Arnold, S. M. Gusein-Zade, and A. N. Varchenko, “Singularities Of Differentiable Maps,” Vol. 2 (Birkhauser, 1988)
1988
Earlier work this paper cites.
K. Corlette, “Flat G G -Bundles With Canonical Metrics,” J. Diff. Geom. 28
1988
Earlier work this paper cites.
E. Witten, “Quantum Field Theory And The Jones Polynomial,” Commun. Math. Phys. 121
1989
Earlier work this paper cites.
M. F. Atiyah, “On Framings Of Three-Manifolds,” Topology
1990
Earlier work this paper cites.
D. Freed and R. Gompf, “Computer Calculations Of Witten’s 3-Manifold Invariant,” Commun. Math. Phys. 141
1991
Earlier work this paper cites.
D. Bar-Natan and E. Witten, “Perturbative Expansion of Chern-Simons Theory with Noncompact Gauge Group,” Commun. Math. Phys. 141
1991
Earlier work this paper cites.
S. Axelrod and I. M. Singer, “Chern-Simons Perturbation Theory, I,” in Differential Geometric Methods In Theoretical Physics
1991
Earlier work this paper cites.
L. Jeffrey, “Chern-Simons-Witten Invariants Of Lens Spaces And Torus Bundles and the Semi-Classical Approximation,” Commun. Math. Phys. 147
1992
Earlier work this paper cites.
S. Cecotti and C. Vafa, “On Classification of 𝒩 = 2 \mathcal{N}=2 Supersymmetric Theories,” Commun. Math. Phys. 158
1993
Earlier work this paper cites.
P. Kirk and E. Klassen, “Chern-Simons Invariants Of 3-Manifolds Decomposed Along Tori And The Circle Bundle Over The Representation Space of T 2 T^{2} ,” Commun. Math. Phys. 153
1993
Earlier work this paper cites.
S. Axelrod and I. M. Singer, “Chern-Simons Perturbation Theory, II,” in J. Diff. Geom. 39
1994
Earlier work this paper cites.
L. Rozansky, “A Large k k Asymptotics Of Witten’s Invariant Of Seifert Manifolds,” Commun. Math. Phys. 171
1995
Cited alongside, same era.
J. Andersen, “The Witten Invariant Of Finite Order Mapping Tori, I,” preprint (ca. 1995)
1995
Cited alongside, same era.
D. Bar-Natan, “On The Vassiliev Knot Invariants,” Topology 34
1995
Cited alongside, same era.
E. Witten, “Chern-Simons Gauge Theory As A String Theory,” Prog. Math. 133
1995
Cited alongside, same era.
D. Bar-Natan and S. Garoufalidis, “On The Melvin-Morton-Rozansky Conjecture,” Invent. Math. 125
1996
Cited alongside, same era.
R. M. Kashaev, “The Hyperbolic Volume Of Knots From The Quantum Dilogarithm,” Lett. Math. Phys. 39
1997
L. Fidkowski, V. Hubeny, M. Kleban and S. Shenker, “The Black Hole Singularity in AdS/CFT,” JHEP 0402
2004
Later among the works it cites.
J. M. Maldacena, G. W. Moore, N. Seiberg and D. Shih, “Exact vs. Semiclassical Target Space of the Minimal String,” JHEP 0410
2004
Later among the works it cites.
S. Gukov, “Three-Dimensional Quantum Gravity, Chern-Simons Theory, And The A A -Polynomial,” Commun. Math. Phys. 255
2005
Later among the works it cites.
C. Beasley and E. Witten, “Non-Abelian Localization For Chern-Simons Theory,” J. Diff. Geom. 70
2005
Later among the works it cites.
J.E Andersen & S.K. Hansen, ”Asymptotics of the Quantum Invariants of Surgeries on the Figure 8 Knot”, Journal of Knot Theory and its Ramifications 15
2006
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
L. Rozansky, “Higher Order Terms in the Melvin-Morton Expansion of the Colored Jones Polynomial,” Commun. Math. Phys. 183
1997
Cited alongside, same era.
L. Rozansky, “The Trivial Connection Contribution to Witten’s Invariant and Finite Type Invariants of Rational Homology Spheres,” Commun. Math. Phys. 183
1997
Cited alongside, same era.
C. J. Howls, “Hyperasymptotics For Multidimensional Integrals, Exact Remainder Terms And The Global Connection Problem,” Proc. R. Soc. London 453
1997
Cited alongside, same era.
L. Rozansky, “The Universal R R -Matrix, Burau Representation, and the Melvin-Morton Expansion Of The Colored Jones Polynomial,” Adv. Math. 134
1998
Cited alongside, same era.
R. Lawrence and L. Rozansky, “Witten-Reshetikhin-Turaev Invariants Of Seifert Manifolds,” Commun. Math. Phys. 205
1999
Cited alongside, same era.
E. Witten, “Dynamics Of Quantum Field Theory,” Lecture 7.7, in P. Deligne et. al., eds. Quantum Fields And Strings: A Course For Mathematicians
1999
Cited alongside, same era.
M. Blau and G. Thompson, “Chern-Simons Theory On S 1 S^{1} Bundles: Abelianisation and q q -Deformed Yang-Mills Theory,” JHEP 0605:003,2006, hep-th/0601068
2006
Later among the works it cites.
J. Dubois and R. Kashaev, “On The Asymptotic Expansion Of The Colored Jones Polynomial For Torus Knots,” Math. Ann. 339
2007
Later among the works it cites.
H. Zheng, “Proof Of The Volume Conjecture For Whitehead Doubles Of A Family Of Torus Knots,” Chin. Ann. Math. Ser. B. 28
2007
Later among the works it cites.
P. Kronheimer and T. Mrowka, Monopoles And Three-Manifolds
2007
Later among the works it cites.
A. Kapustin and E. Witten, “Electric-Magnetic Duality and the Geometric Langlands Program,” Commun. Numb. Th. Phys. 1
2007
Later among the works it cites.
W. Li, W. Song, and A. Strominger, “Chiral Gravity in Three Dimensions,” JHEP 0804
2008
Later among the works it cites.
2008
Later among the works it cites.
M. Hutchings, “Taubes’s Proof of the Weinstein Conjecture In Dimension Three,” Bull. Am. Math. Soc. 47
2010
Closest in time.
R. M. Kashaev and O. Tirkkonen, “A Proof Of The Volume Conjecture For Torus Knots,” J. Math. Sci. (NY) 115
2036
Closest in time.