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We study the spin Gromov-Witten (GW) theory of $\mathbb{P}^1$.
“Transformation groups for soliton equations II. Vertex operators and τ \tau functions”
Etsuro̵ Date, Masaki Kashiwara and Tetsuji Miwa · 1981
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“Transformation groups for soliton equations”
Masaki Kashiwara and Tetsuji Miwa · 1981
Earlier work this paper cites.
“Transformation groups for soliton equations IV. A new hierarchy of soliton equations of KP-type”
Etsuro̵ Date, Michio Jimbo, Masaki Kashiwara and Tetsuji Miwa · 1982
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“Solitons and infinite dimensional Lie algebras”
Michio Jimbo and Tetsuji Miwa · 1983
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“Soliton equations as dynamical systems on infinite-dimensional Grassmann manifold”
Mikio Sato and Yasuko Sato · 1983
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“Polynomial solutions of the BKP hierarchy and projective representations of symmetric groups”
Yuching You · 1989
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“Two-dimensional gravity and intersection theory on moduli space”
Edward Witten · 1990
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“Intersection theory on the moduli space of curves and the matrix Airy function”
Maxim Kontsevich · 1992
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“The geometry of spinors and the multicomponent BKP and DKP hierarchies”
Victor Kac and Johan van Leur · 1998
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“The character of the infinite wedge representation”
Spencer Bloch and Andrei Okounkov · 1999
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“Localization of virtual classes”
Tom Graber and Rahul Pandharipande · 1999
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“Logarithmic series and Hodge integrals in the tautological ring” With an appendix by Don Zagier
Carel Faber and Rahul Pandharipande · 2000
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“Toda equations for Hurwitz numbers”
Andrei Okounkov · 2000
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“Hurwitz numbers and intersections on moduli spaces of curves”
Torsten Ekedahl, Sergei Lando, Michael Shapiro and Alek Vainshtein · 2001
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“Framed knots at large N N ”
Marcos Mariño and Cumrun Vafa · 2002
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“A proof of a conjecture of Mariño–Vafa on Hodge integrals”
Chiu-Chu Liu, Kefeng Liu and Jian Zhou · 2003
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“Hypergeometric functions related to Schur Q Q -polynomials, and the BKP equation”
Alexandr. Orlov · 2003
Cited alongside, same era.
“The symplectic sum formula for Gromov–Witten invariants”
Eleny-Nicoleta Ionel and Thomas Parker · 2004
Cited alongside, same era.
“The theta characteristic of a branched covering”
Alex Eskin, Andrei Okounkov and Rahul Pandharipande · 2006
Cited alongside, same era.
“Gromov–Witten theory, Hurwitz theory, and completed cycles”
Andrei Okounkov and Rahul Pandharipande · 2006
Cited alongside, same era.
“The equivariant Gromov–Witten theory of P 1 \mathbb{P}^{1} ”
Andrei Okounkov and Rahul Pandharipande · 2006
Cited alongside, same era.
“Sum formulas for local Gromov–Witten invariants of spin curves”
Junho Lee · 2012
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“Localizing virtual cycles by cosections”
Young-Hoon Kiem and Jun Li · 2013
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“Spin Hurwitz numbers and the Gromov–Witten invariants of Kähler surfaces”
Junho Lee and Thomas. Parker · 2013
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“Spin Hurwitz numbers and topological quantum field theory”
Sam Gunningham · 2016
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“Stable pairs with descendents on local surfaces I: the vertical component”
Martijn Kool and Richard Thomas · 2017
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“Curve counting and DT/PT correspondence for Calabi–Yau 4-folds”
Yalong Cao and Martijn Kool · 2020
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“Virasoro constraints for target curves”
Andrei Okounkov and Rahul Pandharipande · 2006
Cited alongside, same era.
“Dispersionless Hirota equations of two-component BKP hierarchy”
Kanehisa Takasaki · 2006
Cited alongside, same era.
“Gromov–Witten invariants of varieties with holomorphic 2-forms” arXiv: 0707.2986 , 2007
Young-Hoon Kiem and Jun Li · 2007
Cited alongside, same era.
“A structure theorem for the Gromov–Witten invariants of Kähler surfaces”
Junho Lee and Thomas. Parker · 2007
Cited alongside, same era.
“The local Gromov–Witten theory of curves”
Jim Bryan and Rahul Pandharipande · 2008
Cited alongside, same era.
“Enumerative geometry of Calabi–Yau 4-folds”
Albrecht Klemm and Rahul Pandharipande · 2008
Cited alongside, same era.
“A square root of Hurwitz numbers”
Junho Lee · 2020
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“Cut-and-join structure and integrability for spin Hurwitz numbers”
Andrey Mironov, Alexei Morozov and Sergey Natanzon · 2020
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“GW/PT descendent correspondence via vertex operators”
Alexei Oblomkov, Andrei Okounkov and Rahul Pandharipande · 2020
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Matteo Costantini, Adrien Sauvaget and Johannes Schmitt · 2021
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“Geometric and topological recursion and invariants of the moduli space of curves”, 2021
Alessandro Giacchetto · 2021
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“A new spin on Hurwitz theory and ELSV via theta characteristics” arXiv: 2104.05697 , 2021
Alessandro Giacchetto, Reinier Kramer and Danilo Lewański · 2021
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“The quantum Witten–Kontsevich series and one-part double Hurwitz numbers”
Xavier Blot · 2022
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“Elements of spin Hurwitz theory: closed algebraic formulas, blobbed topological recursion, and a proof of the Giacchetto–Kramer–Lewański conjecture”
Alexander Alexandrov and Sergey Shadrin · 2023
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