Rational cohomology of ${\mathcal{M}}_{4,1}$

Abstract

We compute the rational cohomology of the moduli space ${\mathcal{M}}_{4,1}$ of non-singular genus $4$ curves with $1$ marked point, using Gorinov-Vassiliev's method.

arXiv comment20 pages, comments are welcome

References in corpus (7)

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• How to calculate homology groups of spaces of nonsingular algebraic projective hypersurfaces
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• Polynomial point counts and odd cohomology vanishing on moduli spaces of stable curves
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• Extensions of tautological rings and motivic structures in the cohomology of ${\overline{\mathcal{M}}}_{g,n}$