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Spin Hurwitz numbers count ramified covers of a spin surface, weighted by the size of their automorphism group (like ordinary Hurwitz numbers), but signed $\pm 1$ according to the parity of the covering surface.
William Burnside, Theory of groups of finite order , The University press, 1911
1911
Earlier work this paper cites.
J. Schur, Über die Darstellung der symmetrischen und der alternierenden Gruppe durch gebrochene lineare Substitutionen. , Journal fur die reine und angewandte Mathematik (Crelles Journal) 1911
1911
Earlier work this paper cites.
Jean Bènabou, Introduction to bicategories , Reports of the Midwest Category Seminar, Springer, Berlin, 1967, p. 1–77
1967
Earlier work this paper cites.
Michael F. Atiyah, Riemann surfaces and spin structures , Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4
1971
Earlier work this paper cites.
David Mumford, Theta characteristics of an algebraic curve , Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4
1971
Earlier work this paper cites.
Dennis Johnson, Spin structures and quadratic forms on surfaces , The Journal of the London Mathematical Society. Second Series 22
1980
Earlier work this paper cites.
A N Sergeev, The tensor algebra of the identity representation as a module over the superalgebras 𝔊 𝔩 ( n , m ) \mathfrak{Gl}(n,m) and q ( n ) q(n) , Mathematics of the USSR-Sbornik 51
1985
Earlier work this paper cites.
H. Blaine Lawson and Marie-Louise Michelsohn, Spin geometry , Princeton University Press, 1989
1989
Earlier work this paper cites.
Robbert Dijkgraaf and Edward Witten, Topological gauge theories and group cohomology , Communications in Mathematical Physics 129
1990
Earlier work this paper cites.
Daniel S. Freed and Frank Quinn, Chern-Simons theory with finite gauge group , Communications in Mathematical Physics 156
1993
Earlier work this paper cites.
Daniel S. Freed, Higher algebraic structures and quantization , Communications in Mathematical Physics 159
1994
Earlier work this paper cites.
William Fulton, Young tableaux , London Mathematical Society Student Texts, vol. 35, Cambridge University Press, Cambridge, 1997, With applications to representation theory and geometry
1997
Cited alongside, same era.
by same author, Relating spin representations of symmetric and hyperoctahedral groups , Journal of Pure and Applied Algebra 152
1998
Cited alongside, same era.
Manabu Yamaguchi, A duality of the twisted group algebra of the symmetric group and a Lie superalgebra , Journal of Algebra 222
1999
Cited alongside, same era.
Alex Eskin and Howard Masur, Asymptotic formulas on flat surfaces , Ergodic Theory and Dynamical Systems 21
2001
Cited alongside, same era.
Alex Eskin and Andrei Okounkov, Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials , Inventiones Mathematicae 145
2001
D. Maulik and R. Pandharipande, New calculations in Gromov-Witten theory , Pure and Applied Mathematics Quarterly 4
2008
Later among the works it cites.
Paul Aspinwall, Tom Bridgeland, Alastair Craw, Michael Douglas, Mark Gross, Anton Kapustin, Gregory W. Moore, Graeme Segal, Balázs Szendrői, and Pelham M. H. Wilson, Dirichlet branes and mirror symmetry , American Mathematical Soc., November 2009
2009
Later among the works it cites.
David Ben-Zvi and David Nadler, The character theory of a complex group , preprint (2009)
2009
Later among the works it cites.
Søren Galatius, Ulrike Tillmann, Ib Madsen, and Michael Weiss, The homotopy type of the cobordism category , Acta Mathematica 202
2009
Later among the works it cites.
Jacob Lurie, On the classification of topological field theories , Current developments in mathematics, 2008, Int. Press, Somerville, MA, 2009, p. 129–280
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Cited alongside, same era.
Maxim Kontsevich and Anton Zorich, Connected components of the moduli spaces of Abelian differentials with prescribed singularities , Inventiones Mathematicae 153
2003
Cited alongside, same era.
Stephan Stolz and Peter Teichner, What is an elliptic object? , Topology, geometry and quantum field theory, London Math. Soc. Lecture Note Ser., vol. 308, Cambridge Univ. Press, Cambridge, 2004, p. 247�343
2004
Cited alongside, same era.
Aleksandr Sergeevich Kleshchev, Linear and projective representations of symmetric groups , Cambridge University Press, 2005
2005
Cited alongside, same era.
Gregory W. Moore and Graeme Segal, D-branes and K-theory in 2d topological field theory , arXiv:hep-th/0609042 (2006)
2006
Cited alongside, same era.
Junho Lee and Thomas H. Parker, A structure theorem for the Gromov-Witten invariants of Kähler surfaces , Journal of Differential Geometry 77
2007
Cited alongside, same era.
Alex Eskin, Andrei Okounkov, and Rahul Pandharipande, Theta characteristic of a branched covering , Advances in Mathematics 217
2008
Cited alongside, same era.
Ferdinand Georg Frobenius, Über gruppencharaktere , Herausgegeben von J.-P. Serre, Springer-Verlag, Berlin, 1896
Cited in the paper.
2009
Later among the works it cites.
Christopher John Schommer-Pries, The classification of Two-Dimensional extended topological field theories , 2009
2009
Later among the works it cites.
Daniel S. Freed, Michael J. Hopkins, Jacob Lurie, and Constantin Teleman, Topological quantum field theories from compact Lie groups , A celebration of the mathematical legacy of Raoul Bott, CRM Proc. Lecture Notes, vol. 50, Amer. Math. Soc., Providence, RI, 2010, p. 367–403
2010
Later among the works it cites.
Jeffrey Colin Morton, Two-Vector Spaces and Groupoids , Applied Categorical Structures 19
2010
Later among the works it cites.
by same author, A recursion formula for spin Hurwitz numbers , In preparation, 2012
2012
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Junho Lee, Degree-three spin Hurwitz numbers , Pacific Journal of Mathematics 263
2013
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