Mathematics – Algebraic Geometry
Scientific paper
2006-01-04
Mathematics
Algebraic Geometry
27 pages
Scientific paper
Witten's top Chern class is a particular cohomology class on the moduli space of Riemann surfaces endowed with r-spin structures. It plays a key role in Witten's conjecture relating to the intersection theory on these moduli spaces. Our first goal is to compute the integral of Witten's class over the so-called double ramification cycles in genus 1. We obtain a simple closed formula for these integrals. This allows us, using the methods of [15], to find an algorithm for computing the intersection numbers of the Witten class with powers of the \psi-classes (or tautological classes) over any moduli space of r-spin structures, in short, all numbers involved in Witten's conjecture.
Shadrin Sergei
Zvonkine Dimitri
No associations
LandOfFree
Intersection numbers with Witten's top Chern class 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 Intersection numbers with Witten's top Chern class, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Intersection numbers with Witten's top Chern class will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-306145