The equivariant Euler characteristic of moduli spaces of curves
E. Gorsky
TL;DR
This paper provides a formula for the S_n-equivariant Euler characteristics of moduli spaces of genus g curves with n marked points, advancing the understanding of their topological and algebraic structure.
Contribution
It introduces a new formula for the S_n-equivariant Euler characteristics of moduli spaces of curves, linking algebraic geometry and representation theory.
Findings
Derived an explicit formula for the equivariant Euler characteristic
Connected topological invariants with symmetric group actions
Enhanced understanding of moduli space topology
Abstract
We give a formula for the S_n - equivariant Euler characteristics of the moduli spaces of genus g curves with n marked points
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometric and Algebraic Topology