Topological recursion relations in genus 2
Abstract
Description
In Part 1 of this paper, we study gravitational descendents of Gromov-Witten invariants for general projective manifolds, applying the Behrend-Fantechi construction of the virtual fundamental classes.
In Part 2, we calculate the topological recursion relations in genus 2. There are two of these, one for the second descendent of a field, and one for the first descendents of two fields. The proof uses the results of Part 1 together with a thorough study of intersection theory on the moduli space $\bar{M}_{2,2}$.
28 pages, AMS-LaTeX 1.2 (with lamsarrow)
28 pages, AMS-LaTeX 1.2 (with lamsarrow)