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We define higher quantum Airy structures as generalizations of the Kontsevich-Soibelman quantum Airy structures by allowing differential operators of arbitrary order (instead of only quadratic).
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M. Kontsevich · 1992
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E. Witten · 1993
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Unitary matrix integrals in the framework of generalized Kontsevich model. I. Brézin-Gross-Witten model
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B. Feigin and E. Frenkel · 1996
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L.A. Dickey · 1999
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T.J. Jarvis · 2000
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F. Kutzschebauch and F. Loose · 2000
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E. Frenkel and D. Ben-Zvi · 2001
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A. Polishchuk and A. Vaintrob · 2001
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A n − 1 A_{n-1} singularities and n n KdV hierarchies
A. Givental · 2003
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Witten top Chern class on the moduli space of higher spin curves
A. Polishchuk · 2004
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Simple singularities and integrable hierarchies
A. Givental and T. Milanov · 2005
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Matrix eigenvalue model: Feynman graph technique for all genera
L.O. Chekhov and B. Eynard · 2006
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B. Eynard and N. Orantin · 2007
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B. Doyon · 2008
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H. Fan, T.J. Jarvis, and Y. Ruan · 2008
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B. Eynard and N. Orantin · 2009
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C. Faber, S. Shadrin, and D. Zvonkine · 2010
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E. Frenkel, A. Givental, and T. Milanov · 2010
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W W -algebra constraints and topological recursion for A N A_{N} -singularity
T. Milanov · 2016
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Matrix factorizations and cohomological field theories
A. Polishchuk and A. Vaintrob · 2016
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B. Safnuk · 2016
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Open intersection numbers and free fields
A. Alexandrov · 2017
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The ABCD of topological recursion
J.E. Andersen, G. Borot, L.O. Chekhov, and N. Orantin · 2017
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Introduction to W-algebras and their representation theory
T. Arakawa · 2017
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Ivan Kostov and Nicolas Orantin · 2010
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Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations
A. Polishchuk and A. Vaintrob · 2012
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B. Bakalov and T. Milanov · 2013
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Think globally, compute locally
V. Bouchard and B. Eynard · 2013
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The Witten equation, mirror symmetry and quantum singularity theory
H. Fan, T. Jarvis, and Y. Ruan · 2013
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Uniqueness theorem of W W -constraints for simple singularities
S.-Q. Liu, D. Yang, and Y. Zhang · 2013
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T. Arakawa and A. Molev · 2017
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G. Borot and S. Shadrin · 2017
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Reconstructing WKB from topological recursion
V. Bouchard and B. Eynard · 2017
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Matrix models and a proof of the open analog of Witten’s conjecture
A. Buryak and R.J. Tessler · 2017
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Dubrovin’s superpotential as a global spectral curve
P. Dunin-Barkowski, P. Norbury, N. Orantin, A. Popolitov, and S. Shadrin · 2017
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Screening operators for W W -algebras
N. Genra · 2017
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A new cohomology class on the moduli space of curves
P. Norbury · 2017
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Cut-and-join description of generalized Brézin-Gross-Witten model
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