Communications in Analysis and Geometry

Volume 14 (2006)

Number 2

On the Euler numbers of certain moduli spaces of curves and points

Pages: 387 – 410

DOI: http://dx.doi.org/10.4310/CAG.2006.v14.n2.a6

Authors

Wei-Ping Li

Zhenbo Qin

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.

2010 Mathematics Subject Classification

Primary 14D20. Secondary 14C05, 14N35.

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