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We study spin Hurwitz numbers, which count ramified covers of the Riemann sphere with a sign coming from a theta characteristic.
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Adolf Hurwitz · 1901
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“Über eine Klasse von Matrizen die sich einer gegebenen Matrix zuordnen lassen”
Issai Schur · 1901
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“Topological recursion for Masur–Veech volumes”
Jørgen Andersen, Gaëtan Borot, Séverin Charbonnier, Vincent Delecroix, Alessandro Giacchetto, Danilo Lewański and Campbell Wheeler · 1905
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“Über die Darstellung der symmetrischen und der alternierenden Gruppe durch gebrochene lineare Substitutionen”
Issai Schur · 1911
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“Riemann surfaces and spin structures”
Michael. Atiyah · 1971
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“Theta characteristics of an algebraic curve”
David Mumford · 1971
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“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 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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“The tensor algebra of the identity representation as a module over the Lie superalgebras 𝔊 𝔩 ( n , m ) \mathfrak{Gl}(n,m) and Q ( n ) Q(n) ”
Aleksandr Sergeev · 1984
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“Semisimple superalgebras”
Tadeusz Józefiak · 1988
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“Moduli of curves and theta-characteristics”
Maurizio Cornalba · 1989
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“Characters of projective representations of symmetric groups”
Tadeusz Józefiak · 1989
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“Polynomial solutions of the BKP hierarchy and projective representations of symmetric groups”
Yuching You · 1989
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“A class of projective representations of hyperoctahedral groups and Schur Q Q -functions”
Tadeusz Józefiak · 1990
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“Gromov–Witten classes, quantum cohomology, and enumerative geometry”
Maxim Kontsevich and Yuri Manin · 1994
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“On the Lambert W W function”
Robert. Corless, Gaston. Gonnet, David.G. Hare, David. Jeffrey and Donald. Knuth · 1996
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“Torsion-free sheaves and moduli of generalized spin curves”
Tyler. Jarvis · 1998
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“Symmetric Functions and Hall Polynomials”
Ian. MacDonald · 1998
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“The character of the infinite wedge representation”
Spencer Bloch and Andrei Okounkov · 1999
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“A duality of the twisted group algebra of the symmetric group and a Lie superalgebra”
Manabu Yamaguchi · 1999
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“Geometry of the moduli of higher spin curves”
Tyler. Jarvis · 2000
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“Relating spin representations of symmetric and hyperoctahedral groups”
Tadeusz Józefiak · 2000
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“Solitons: Differential equations, symmetries and infinite dimensional algebras” 135
Miles Reid · 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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“Gromov–Witten invariants and quantization of quadratic Hamiltonians”
Aleksandr Givental · 2001
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“Moduli spaces of higher spin curves and integrable hierarchies”
Tyler. Jarvis, Takashi Kimura and Arkady Vaintrob · 2001
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“Moduli of twisted spin curves”
Dan Abramovich and Tyler. Jarvis · 2003
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“Gaussian limit for projective characters of large symmetric groups”
Vladimir Ivanov · 2004
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“The Witten top Chern class via K K -theory”
Alessandro Chiodo · 2006
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“The theta characteristic of a branched covering”
Alex Eskin, Andrei Okounkov and Rahul Pandharipande · 2006
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“Invariants of spectral curves and intersection theory of moduli spaces of complex curves”
Bertrand Eynard · 2014
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Rahul Pandharipande, Aaron Pixton and Dimitri Zvonkine · 2014
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“Catalan’s trapezoids”
Shlomi Reuveni · 2014
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“Double Hurwitz numbers via the infinite wedge”
Paul. Johnson · 2015
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“Equivalence of ELSV and Bouchard–Maiño conjectures for r r -spin Hurwitz numbers”
Sergey Shadrin, Loek Spitz and Dimitri Zvonkine · 2015
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“Spin Hurwitz numbers and topological quantum field theory”
Sam Gunningham · 2016
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Andrei Okounkov and Rahul Pandharipande · 2006
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Dimitri Zvonkine · 2006
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