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R. Belliard, B. Eynard, From the quantum geometry of Fuchsian systems to conformal blocks of W-algebras , arxiv 1907.10543
1907
Earlier work this paper cites.
W. M. Goldman, The Symplectic Nature of Fundamental Groups of Surfaces MathematicsPublished 1984 DOI:10.1016/0001-8708(84)90040-9
1984
Earlier work this paper cites.
Kokotov A., Korotkin D., Bergman tau-function on Hurwitz spaces and its applications (2003),, math-ph/0310008
2003
Earlier work this paper cites.
B. Eynard and N. Orantin, “Invariants of algebraic curves and topological expansion,” Comm. Numb. Theor. Phys. 1
2007
Earlier work this paper cites.
V. Bouchard, A. Klemm, M. Mariño, S. Pasquetti, Remodeling the B-Model, Communications in Mathematical Physics, Vol 287, 117-178, 2008
2008
Earlier work this paper cites.

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P. Dunin-Barkowski, N. Orantin, S. Shadrin, L. Spitz, Identification of the Givental formula with the spectral curve topological recursion procedure, Commun. Math. Phys. 328 (2014), 669-700, arxiv:1211.4021
Original
2014
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G. Borot, B. Eynard, All order asymptotics of hyperbolic knot invariants from non-perturbative topological recursion of A-polynomials, math-ph: arxiv.1205.2261, EMS Quantum Topology, Volume 6, Issue 1, 2015, pp. 39–138 DOI: 10.4171 QT 60
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B. Eynard, N. Orantin, Computation of open Gromov-Witten invariants for toric Calabi-Yau 3-folds by topological recursion, a proof of the BKMP conjecture, math-ph: arxiv.1205.1103, CMP (2015) 10.1007/s00220-015-2361-5
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M. Manabe, P. Sułkowski, Quantum curves and conformal field theory , math-ph/1512.05785 , 2015
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2019

Eynard, B

Topological recursion associates to a spectral curve, a sequence of meromorphic differential forms.

A tangent space to the "moduli space" of spectral curves (its space of deformations) is locally described by meromorphic 1-forms, and we use form-cycle duality to re-express it in terms of cycles (generalized cycles).
This formulation allows to express the ABCD tensors of Quantum Airy Structures acting on the vector space of cycles, in an intrinsic spectral-curve geometric way.

R. Belliard, B. Eynard, From the quantum geometry of Fuchsian systems to conformal blocks of W-algebras , arxiv 1907.10543
1907
Earlier work this paper cites.
W. M. Goldman, The Symplectic Nature of Fundamental Groups of Surfaces MathematicsPublished 1984 DOI:10.1016/0001-8708(84)90040-9
1984
Earlier work this paper cites.
Kokotov A., Korotkin D., Bergman tau-function on Hurwitz spaces and its applications (2003),, math-ph/0310008
2003
Earlier work this paper cites.
B. Eynard and N. Orantin, “Invariants of algebraic curves and topological expansion,” Comm. Numb. Theor. Phys. 1
2007
Earlier work this paper cites.
V. Bouchard, A. Klemm, M. Mariño, S. Pasquetti, Remodeling the B-Model, Communications in Mathematical Physics, Vol 287, 117-178, 2008
2008
Earlier work this paper cites.

P. Dunin-Barkowski, N. Orantin, S. Shadrin, L. Spitz, Identification of the Givental formula with the spectral curve topological recursion procedure, Commun. Math. Phys. 328 (2014), 669-700, arxiv:1211.4021
Original
2014
Later among the works it cites.
G. Borot, B. Eynard, All order asymptotics of hyperbolic knot invariants from non-perturbative topological recursion of A-polynomials, math-ph: arxiv.1205.2261, EMS Quantum Topology, Volume 6, Issue 1, 2015, pp. 39–138 DOI: 10.4171 QT 60
2015
Later among the works it cites.
B. Eynard, N. Orantin, Computation of open Gromov-Witten invariants for toric Calabi-Yau 3-folds by topological recursion, a proof of the BKMP conjecture, math-ph: arxiv.1205.1103, CMP (2015) 10.1007/s00220-015-2361-5
2015
Later among the works it cites.
M. Manabe, P. Sułkowski, Quantum curves and conformal field theory , math-ph/1512.05785 , 2015
Original
2015
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 in the paper.

G. Borot, V. Bouchard, N. K. Chidambaram, T. Creutzig, D. Noshchenko, Higher Airy structures, W algebras and topological recursion , arxiv 1812.08738

Cited in the paper.

L. Chekhov, B. Eynard, Hermitean matrix model free energy: Feynman graph technique for all genera , JHEP 009P 0206 5, hep-th/0504116

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B. Eynard, The Geometry of integrable systems. Tau functions and homology of Spectral curves. Perturbative definition. math-ph: arxiv.1706.04938

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B. Eynard, Topological expansion for the 1-hermitian matrix model correlation functions, JHEP/024A/0904, hep-th/0407261

Cited in the paper.

Cited in the paper.

B. Eynard, A short overview of the ”Topological recursion” Long version, ICM2014 proceedings, math-ph: arxiv.1412.3286

Cited in the paper.

Cited in the paper.