Fetching the paper…
Reading the bibliography…
The Feynman path integral of ordinary quantum mechanics is complexified and it is shown that possible integration cycles for this complexified integral are associated with branes in a two-dimensional A-model.
G. W. Gibbons, S. W. Hawking, and M. J. Perry, “Path Integrals And The Indefiniteness Of The Gravitational Action,” Nucl. Phys. B138
1978
Earlier work this paper cites.
E. Witten, “Supersymmetry And Morse Theory,” J. Diff. Geom. 17
1982
Earlier work this paper cites.
R. Bott and L. Tu, Differential Forms In Algebraic Topology
1982
Earlier work this paper cites.
L. Alvarez-Gaumé and D. Z. Freedman, “Potentials For The Supersymmetric Nonlinear Sigma Model,” Commun. Math. Pys. 91
1983
Earlier work this paper cites.
M. F. Atiyah and R. Bott, “The Yang-Mills Equations Over Riemann Surfaces,” Phil. Trans. R. Soc. Lond. A308
1983
Earlier work this paper cites.
M. Gromov, “Pseudoholomorphic Curves In Symplectic Manifolds,” Invent. Math. 82
1985
Earlier work this paper cites.
E. Witten, “New Issues In Manifolds Of SU(3) Holonomy,” Nucl. Phys. B268
1986
Earlier work this paper cites.
N. J. Hitchin, A. Karlhere, U. Lindstrom, and M. Rocek, “Hyperkahler Metrics And Supersymmetry,” Commun. Math. Phys. 108
1987
Earlier work this paper cites.
A. Floer, “Morse Theory For Lagrangian Intersections,” J. Diff. Geom. 28
1988
Earlier work this paper cites.
E. Witten, “Topological Sigma Models,” Commun. Math. Phys. 118
1988
Cited alongside, same era.
K. Corlette, “Flat G G -Bundles With Canonical Metrics,” J. Diff. Geom. 28
1988
Cited alongside, same era.
E. Witten, “Gauge Theories, Vertex Models, And Quantum Groups,” Nucl. Phys. B330
1990
Cited alongside, same era.
E. Witten, “Algebraic Geometry Associated With Matrix Models Of Two-Dimensional Gravity,” in Topological Methods In Modern Mathematics
1993
Cited alongside, same era.
E. Witten, “Phases Of 𝒩 = 2 {\mathcal{N}}=2 Theories In Two Dimensions,” Nucl. Phys. B403
1993
Cited alongside, same era.
E. Witten, “Chern-Simons Gauge Theory As A String Theory,” Prog. Math. 133
1995
Cited alongside, same era.
M. Khovanov, “A Categorification Of The Jones Polynomial,” Duke. Math. J. 101
2000
Later among the works it cites.
A. Kapustin and D. Orlov, “Remarks on A A -Branes, Mirror Symmetry, and the Fukaya Category,” J. Geom. Phys. 48
2003
Later among the works it cites.
M. Aldi and E. Zaslow, “Coisotropic Branes, Noncommutativity, and the Mirror Correspondence,” JHEP 0506
2005
Later among the works it cites.
S. Gukov, A. S. Schwarz and C. Vafa, “Khovanov-Rozansky Homology and Topological Strings,” Lett. Math. Phys. 74
2005
Later among the works it cites.
A. Kapustin and E. Witten, “Electric-Magnetic Duality And The Geometric Landlands Program,” Comm. Number Theory and Physics 1
2007
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
M. Bershadsky, A. Johansen, V. Sadov, and C. Vafa, “Topological Reduction Of 4-d SYM To 2-d Sigma-Models,” Nucl. Phys. B448
1995
Cited alongside, same era.
J. A. Harvey, G. W. Moore, and A. Strominger, “Reducing S S Duality To T T Duality,” Phys. Rev. D52
1995
Cited alongside, same era.
M. Bershadsky, C. Vafa, and V. Sadov, “ D D -Branes and Topological Field Theories,” Nucl. Phys. B463
1996
Cited alongside, same era.
E. Witten, “Analytic Continuation Of Chern-Simons Theory,” arXiv:1001.2933
Cited in the paper.
P. Bressler and Y. Soibelman, “Mirror Symmetry And Deformation Quantization,” arXiv:hep-th/0202128
Cited in the paper.
A. Kapustin, “ A A -Branes And Noncommutative Geometry,” hep-th/0502212
Cited in the paper.
2007
Later among the works it cites.
S. Gukov and E. Witten, “Branes and Quantization,” Adv. Math. Theor. Phys. 13
2009
Later among the works it cites.
J. Guffin and E. Sharpe, “ A A -Twisted Landau-Ginzburg Models,” J. Geom. Phys. 59
2009
Later among the works it cites.