Hodge-type integrals on moduli spaces of admissible covers

Details Hodge-type integrals on moduli spaces of admissible covers Hodge-type integrals on moduli spaces of admissible covers

2004-11-22

arxiv.org/abs/math/0411500v2

Geom. Topol. Monogr. 8 (2006) 167-194

Mathematics

Algebraic Geometry

This is the version published by Geometry & Topology Monographs on 21 September 2007

Scientific paper

10.2140/gtm.2006.8.167

We study Hodge Integrals on Moduli Spaces of Admissible Covers. Motivation for this work comes from Bryan and Pandharipande's recent work on the local GW theory of curves, where analogouos intersection numbers, computed on Moduli Spaces of Relative Stable Maps, are the structure coefficients for a Topological Quantum Field Theory. Admissible Covers provide an alternative compactification of the Moduli Space of Maps, that is smooth and doesn't contain boundary components of excessive dimension. A parallel, yet different, TQFT, can then be constructed. In this paper we compute, using localization, the relevant Hodge integrals for admissible covers of a pointed sphere of degree 2 and 3, and formulate a conjecture for general degree. In genus 0, we recover the well-known Aspinwall Morrison formula in GW theory.

Affiliated with

Also associated with

No associations

Rating

Hodge-type integrals on moduli spaces of admissible covers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hodge-type integrals on moduli spaces of admissible covers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hodge-type integrals on moduli spaces of admissible covers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-599394