Fetching the paper…
Reading the bibliography…
The Remodeling Conjecture proposed by Bouchard-Klemm-Mari\~{n}o-Pasquetti (BKMP) [arXiv:0709.1453, arXiv:0807.0597] relates the A-model open and closed topological string amplitudes (the all genus open and closed Gromov-Witten invariants) of a semi-projective toric Calabi-Yau 3-manifold/3-orbifold to the Eynard-Orantin invariants of its mirror curve.
T. Coates, A. Corti, H. Iritani, H.-H. Tseng, “A Mirror Theorem for Toric Stacks,” Compos. Math. 151
1912
Earlier work this paper cites.
J. D. Fay, Theta functions on Riemann surfaces,
1973
Earlier work this paper cites.
P. Candelas, X. de la Ossa, P. Green, L. Parks, “A pair of Calabi-Yau manifolds as an exactly soluble superconformal field theory,” Nuclear Physics B 359
1991
Earlier work this paper cites.
S. Cecotti, C. Vafa, “Massive orbifolds”, Mod. Phys. Lett. A 07
1992
Earlier work this paper cites.
M. Bershadsky, S. Cecotti, H. Ooguri, C. Vafa, “Holomorphic anomalies in topological field theories,” Nuclear Phys. B 405
1993
Earlier work this paper cites.
W. Fulton, Introduction to toric varieties
1993
Earlier work this paper cites.
E. Zaslow, “Topological orbifold models and quantum cohomology rings,” Comm. Math. Phys. 156
1993
Earlier work this paper cites.
V. V. Batyrev, D. A. Cox, “On the Hodge structure of projective hypersurfaces in toric varieties,” Duke Math. J. 75
1994
Earlier work this paper cites.
M. Bershadsky, S. Cecotti, H. Ooguri, C. Vafa, “Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes,” Comm. Math. Phys. 165
1994
Earlier work this paper cites.
B. Dubrovin, “Geometry of 2D topological field theories” in Integrable Systems and Quantum Groups (Montecatini Therme, Italy, 1993) , Lecture notes in Math. 1620
1996
Earlier work this paper cites.
A. Givental, “Equivariant Gromov-Witten invariants,” Internat. Math. Res. Notices 1996
1996
Earlier work this paper cites.
B. Lian, K. Liu, S.-T. Yau, “Mirror principle I,” Asian J. Math. 1
1997
Earlier work this paper cites.
A. B. Givental, “Elliptic Gromov-Witten invariants and the generalized mirror conjecture,” Integrable systems and algebraic geometry
1998
Earlier work this paper cites.
A.B. Givental, “A mirror theorem for toric complete intersections,” Topological field theory, primitive forms and related topics (Kyoto, 1996)
1998
Earlier work this paper cites.
D. Cox, S, Katz Mirror symmetry and algebraic geometry
1999
Earlier work this paper cites.
T. Graber, R. Pandharipande, “Localization of virtual classes,” Invent. Math. 135
1999
Earlier work this paper cites.
B. Lian, K. Liu, S.-T. Yau, “Mirror principle II,” Asian J. Math. 3
1999
Earlier work this paper cites.
B.H. Lian, K. Liu, S.-T. Yau, “Mirror principle III,” Asian J. Math. 3
1999
Earlier work this paper cites.
G. Mikhalkin, “Real algebraic curves, the moment map and amoebas,” Ann. of Math. (2) 151
2000
Earlier work this paper cites.
A. B. Givental, “Semisimple Frobenius structures at higher genus,” Internat. Math. Res. Notices 2001
2001
Earlier work this paper cites.
A. B. Givental, “Gromov-Witten invariants and quantization of quadratic hamiltonians,” Mosc. Math. J. 1
2001
Earlier work this paper cites.
S. Katz, C.-C. M. Liu, “Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc,” Adv. Theor. Math. Phys. 5
2001
Earlier work this paper cites.
D. Abramovich, T. Graber, A. Vistoli, “Algebraic orbifold quantum products, Orbifolds in mathematics and physics (Madison, WI, 2001), 1–24, Contemp. Math., 310
2002
Earlier work this paper cites.
M. Aganagic, A. Klemm, C. Vafa, “Disk instantons, mirror symmetry and the duality web,” Z. Naturforsch. A 57
2002
Earlier work this paper cites.
W. Chen, Y. Ruan, “Orbifold Gromov-Witten theory,” Orbifolds in mathematics and physics
2002
Earlier work this paper cites.
Y. Ruan, “Stringy geometry and topology of orbifolds,” Symposium in Honor of C. H. Clemens (Salt Lake City, UT, 2000), 187–233, Contemp. Math., 312
2002
Earlier work this paper cites.
W. Chen, Y. Ruan, “A new cohomology theory of orbifold,” Comm. Math. Phys. 248
2004
Cited alongside, same era.
D.O. Orlov, “Triangulated categories of singularities and D-branes in Landau-Ginzburg models,” (Russian) Tr. Mat. Inst. Steklova 246
2004
Cited alongside, same era.
S. Yamaguchi, S.-T. Yau, “Topological string partition functions as polynomials,” J. High Energy Phys. 2004, no.7, 047, 22pp
2004
Cited alongside, same era.
M. Aganagic, A. Klemm, M. Mariño, C. Vafa, “The topological vertex,” Comm. Math. Phys. 254 (2005), no. 2, 425–478
2005
Cited alongside, same era.
L. Borisov, L. Chen, G. Smith, “The orbifold Chow ring of toric Deligne-Mumford stacks,” J. Amer. Math. Soc. 18
2005
Cited alongside, same era.
D. Cox, J.B. Little, H.K. Schenck, Toric varieties
2011
Later among the works it cites.
C. F. Doran, M. Kerr, “Algebraic K-theory of toric hypersurfaces,” Commun. Number Theory Phys. 5
2011
Later among the works it cites.
D. Maulik, A. Oblomkov, A. Okounkov, R. Pandaripande, “Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds,” Invent. Math. 186
2011
Later among the works it cites.
C. Teleman, “The structure of 2D semi-simple field theories,” Invent. Math. 188
2012
Later among the works it cites.
V. Bouchard, A. Catuneanu, O. Marchal, P. Sułkowski, “The remodeling conjecture and the Faber-Pandharipande formula,” Lett. Math. Phys. 103
2013
Later among the works it cites.
K. Chan, S.-C. Lau, H.-H. Tseng, “Enumerative meaning of mirror maps for toric Calabi-Yau manifolds,” Adv. Math. 244
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2005
Cited alongside, same era.
D. Maulik, N. Nekrasov, A. Okounkov, R. Pandharipande, “Gromov-Witten theory and Donaldson-Thomas theory. I,” Compos. Math. 142
2006
Cited alongside, same era.
D.O. Orlov, ‘Triangulated categories of singularities, and equivalences between Landau-Ginzburg models,” (Russian) Mat. Sb. 197
2006
Cited alongside, same era.
T. Nishinou, B. Siebert, “Toric degeneration of toric varieties and tropical curves,” Duke Math. J. 135
2006
Cited alongside, same era.
Y. Ruan, “Cohomology ring of crepant resolution of orbifolds,” Gromov-Witten theory of spin curves and orbifolds
2006
Cited alongside, same era.
B. Eynard, N. Orantin, “Invariants of algebraic curves and topological expansion,” Commun. Number Theory Phys. 1
2007
Cited alongside, same era.
B. Eynard, M. Mariño, N. Orantin, “Holomorphic anomaly and matrix models” Journal of High Energy Physics 2007, no. 6
2007
Cited alongside, same era.
2013
Later among the works it cites.
A. Gholampour, H.-H. Tseng, “On computations of genus 0 two-point descendant Gromov-Witten invariants,” Michigan Math. J. 62
2013
Later among the works it cites.
C.-C. Liu, “Localization in Gromov-Witten theory and orbifold Gromov-Witten theory,” Handbook of moduli. Vol. II
2013
Later among the works it cites.
D. Ross, Z. Zong, “The Gerby Gopakumar-Mariño-Vafa Formula,” Geom. Topol. 17
2013
Later among the works it cites.
J. Brown, “Gromov-Witten invariants of toric fibrations,” Internat. Math. Res. Notices 2014
2014
Later among the works it cites.
P. Dunin-Barkowski, N. Orantin, S. Shadrin, and L. Spitz, “Identification of the Givental formula with the spectral curve topological recursion procedure,” Comm. Math. Phys. 328
2014
Later among the works it cites.
B. Eynard, “Invariants of spectral curves and intersection theory of moduli spaces of complex curves”, Commun. Number Theory Phys. 8
2014
Later among the works it cites.
D. Ross, “Localization and gluing of orbifold amplitudes: the Gromov-Witten orbifold vertex”, Trans. Amer. Math. Soc. 366
2014
Later among the works it cites.
Jie Zhou, “Arithmetic properties of moduli spaces and topological string partition functions of some Calabi-Yau threefolds,” Thesis (Ph.D.) Harvard University, 2014
2014
Later among the works it cites.
D. Cheong, I. Ciocan-Fontanine, B. Kim, “Orbifold quasimap theory,” Math. Ann. 363
2015
Later among the works it cites.
T. Coates, H. Iritani, “On the convergence of Gromov-Witten potentials and Givental’s formula,” Michigan Math. J. 64
2015
Later among the works it cites.
E. Eynard, N. Orantin, “Computation of open Gromov-Witten invariants for toric Calabi-Yau 3-folds by topological recursion, a proof of the BKMP conjecture,” Comm. Math. Phys. 337
2015
Later among the works it cites.
D. Ross, Z. Zong, “Cyclic Hodge Integrals and Loop Schur Functions,” Adv. Math. 285
2015
Later among the works it cites.
D. Ross, “On GW/DT and Ruan’s Conjecture in All Genus for Calabi-Yau 3-Orbifolds,” Comm. Math. Phys. 340
2015
Later among the works it cites.
S. Zhu, “On a proof of the Bouchard-Sulkowski conjecture,” Math. Res. Lett. 22
2015
Later among the works it cites.
Z. Zong, “Generalized Mariño-Vafa Formula and Local Gromov-Witten Theory of Orbi-curves,” J. Differential Geom. 100
2015
Later among the works it cites.
D. Abramovich, B. Fantechi, “Orbifold techniques in degeneration formulas,” Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 16
2016
Closest in time.
K. Chan, C-H. Cho, S.-C. Lau, H.-H Tseng, “Gross fibrations, SYZ mirror symmetry, and open Gromov-Witten invariants for toric Calabi-Yau orbifolds,” J. Differential Geom. 103
2016
Closest in time.
L. Chen, “Bouchard-Klemm-Marino-Pasquetti Conjecture for ℂ 3 \mathbb{C}^{3} ,” Topological recursion and its influence in analysis, geometry, and topology
2018
Closest in time.
T. Coates, H. Iritani, “A Fock Sheaf For Givental Quantization,” Kyoto J. Math 58
2018
Closest in time.
B. Kim, H. Lho, “Mirror Theorem for Elliptic Quasimap Invariants,” Geom. Topol. 22
2018
Closest in time.