On the Euler numbers of certain moduli spaces of curves and points
Algebraic Geometry
2007-05-23 v2
Abstract
We determine the topological Euler number of certain moduli space of 1-dimensional closed subschemes in a smooth projective variety which admits a Zariski-locally trivial fibration with 1-dimensional fibers. The main approach is to use virtual Hodge polynomials and torus actions. The results might shed some light on the corresponding Donaldson-Thomas invariants.
Keywords
Cite
@article{arxiv.math/0508132,
title = {On the Euler numbers of certain moduli spaces of curves and points},
author = {Wei-Ping Li and Zhenbo Qin},
journal= {arXiv preprint arXiv:math/0508132},
year = {2007}
}
Comments
Added a reference to a recent paper of K. Behrend. To appear in Communications in Analysis and Geometry. 19 pages