On the S_n-equivariant Euler characteristic of M_{2,n}
Algebraic Geometry
2007-07-19 v1
Abstract
The Getzler's formula relates the S_n-equivariant Hodge-Deligne polynomial of the space of ordered tuples of distinct points on a given variety X with the Hodge-Deligne polynomial of X. We obtain the analogue of this formula for the case when X has a nontrivial automorphism group. Collecting together all strata of with different automorphism groups, we derive a formula for the S_n-equivariant Euler characteristic of .
Keywords
Cite
@article{arxiv.0707.2662,
title = {On the S_n-equivariant Euler characteristic of M_{2,n}},
author = {E. Gorsky},
journal= {arXiv preprint arXiv:0707.2662},
year = {2007}
}
Comments
14 pages