Fetching the paper…
Reading the bibliography…
We construct an algorithm for computing the cycle classes of the spin components of a stratum of differentials in the moduli space of stable curves $\overline{\mathcal{M}}_{g,n}$.
“Mapping class groups and their relationship to braid groups”
Joan Birman · 1969
Earlier work this paper cites.
“Homology of the curve complex and the Steinberg module of the mapping class group”
Nathan Broaddus · 1969
Earlier work this paper cites.
“Groups with homological duality”
Robert Bieri and Beno Eckmann · 1973
Earlier work this paper cites.
“Spin structures and quadratic forms on surfaces”
Dennis Johnson · 1980
Earlier work this paper cites.
“The virtual cohomological dimension of the mapping class group of an orientable surface”
John Harer · 1986
Earlier work this paper cites.
“Complexes of curves and the Teichmüller modular group”
Nikolai Ivanov · 1987
Earlier work this paper cites.
“Attaching corners to Teichmuller space”
NV Ivanov · 1990
Earlier work this paper cites.
“Intersection theory of moduli space of stable n-pointed curves of genus zero”
Sean Keel · 1992
Earlier work this paper cites.
“Calculating cohomology groups of moduli spaces of curves via algebraic geometry”
Enrico Arbarello and Maurizio Cornalba · 1998
Earlier work this paper cites.
“Topological recursion relations in genus 2”
Ezra Getzler · 1998
Earlier work this paper cites.
“The Hodge polynomial of \ \backslash Mbar_ { \{ 3, 1 } \} ”
Ezra Getzler and Eduard Looijenga · 1999
Earlier work this paper cites.
“Constructions of nontautological classes of moduli spaces of curves”
Thomas Graber and Rahul Pandharipande · 2003
Earlier work this paper cites.
“Connected components of the moduli spaces of Abelian differentials with prescribed singularities”
Maxim Kontsevich and Anton Zorich · 2003
Earlier work this paper cites.
“Cohomology of moduli spaces of curves of genus three via point counts”
Jonas Bergström · 2008
Earlier work this paper cites.
“Geometry of Algebraic Curves, Volume II with a contribution by Joseph Daniel Harris”, Grundlehren der mathematischen Wissenschaften
Enrico Arbarello, Maurizio Cornalba and Phillip Griffiths · 2011
Cited alongside, same era.
“The rational cohomology of the mapping class group vanishes in its virtual cohomological dimension”
Thomas Church, Benson Farb and Andrew Putman · 2012
Cited alongside, same era.
“Conjectural relations in the tautological ring of ℳ ¯ g , n \overline{\mathcal{M}}_{g,n} ”
Aaron Pixton · 2012
Cited alongside, same era.
“Connected components of the strata of the moduli space of meromorphic differentials”
Corentin Boissy · 2015
Cited alongside, same era.
“Relations on ℳ ¯ g , n \overline{\mathcal{M}}_{g,n} via 3-spin structures”
Rahul Pandharipande, Aaron Pixton and Dimitri Zvonkine · 2015
Cited alongside, same era.
“The moduli space of multi-scale differentials”
Matt Bainbridge et al · 2019
Later among the works it cites.
“Cohomology classes of strata of differentials”
Adrien Sauvaget · 2019
Later among the works it cites.
“The boundary of linear subvarieties”
Frederik Benirschke · 2020
Later among the works it cites.
“Pixton’s formula and Abel-Jacobi theory on the Picard stack”
Younghan Bae et al · 2020
Later among the works it cites.
“Masur–Veech volumes and intersection theory on moduli spaces of abelian differentials”
Dawei Chen, Martin Möller, Adrien Sauvaget and Don Zagier · 2020
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
“Loci of curves with subcanonical points in low genus”
Dawei Chen and Nicola Tarasca · 2016
Cited alongside, same era.
“Intersection theory”
William Fulton · 2016
Cited alongside, same era.
“Boundary structure of the modular group”
Willam Harvey · 2016
Cited alongside, same era.
“Tautological rings of spaces of pointed genus two curves of compact type”
Dan Petersen · 2016
Cited alongside, same era.
“Dimension theory of the moduli space of twisted k k -differentials”
Johannes Schmitt · 2016
Cited alongside, same era.
Felix Janda · 2017
Cited alongside, same era.
“Double ramification cycles on the moduli spaces of curves”
Felix Janda, Rahul Pandharipande, Aaron Pixton and Dimitri Zvonkine · 2017
Cited alongside, same era.
Matteo Costantini, Martin Möller and Jonathan Zachhuber · 2020
Later among the works it cites.
“The Chern classes and the Euler characteristic of the moduli spaces of abelian differentials”
Matteo Costantini, Martin Möller and Jonathan Zachhuber · 2020
Later among the works it cites.
Vincent Delecroix, Johannes Schmitt and Jason van Zelm · 2020
Later among the works it cites.
“Double ramification cycles with target varieties”
Felix Janda, Rahul Pandharipande, Aaron Pixton and Dimitri Zvonkine · 2020
Later among the works it cites.
“Intersections of loci of admissible covers with tautological classes”
Johannes Schmitt and Jason van Zelm · 2020
Later among the works it cites.
“Towards a classification of connected components of the strata of k k -differentials”
Dawei Chen and Quentin Gendron · 2021
Later among the works it cites.
“Integrals of ψ \psi -classes on twisted double ramification cycles and spaces of differentials”
Matteo Costantini, Adrien Sauvaget and Johannes Schmitt · 2021
Later among the works it cites.
“Infinitesimal structure of the pluricanonical double ramification locus”
David Holmes and Johannes Schmitt · 2021
Later among the works it cites.
“On the Chow and cohomology rings of moduli spaces of stable curves”
Samir Canning and Hannah Larson · 2022
Closest in time.