Topological recursion relations in genus 2

Details Topological recursion relations in genus 2 Topological recursion relations in genus 2

1998-01-01

arxiv.org/abs/math/9801003v1

Mathematics

Algebraic Geometry

28 pages, AMS-LaTeX 1.2 (with lamsarrow)

Scientific paper

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 $\bar{M}_{2,2}$.

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