Mathematical Research Letters

Volume 16, Issue 4, July 2009 pp. 591-603.

On the $S_n$-equivariant Euler characteristic of moduli spaces of hyperelliptic curves

Authors: E. Gorsky
Author institution: Moscow State University

Summary: The generating function for $S_n$-equivariant Euler characteristics of moduli spaces of pointed hyperelliptic curves for any genus $g\ge 2$ is calculated. This answer generalizes the known ones for genera 2 and 3 and the answers obtained by J. Bergstr$\ddot{o}$m for any genus and $n\le 7$ points.

Contents Full-Text PDF