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.

20 pages, comments are welcome

References in corpus (4)

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