Topological recursion relations in genus 2

1998/01/01 by Ezra Getzler, Getzler, Ezra · 10 citations
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #hep-th #math.AG #msc:14H10 #msc:81T40

paper · pdf · doi:10.48550/arxiv.math/9801003

28 pages, AMS-LaTeX 1.2 (with lamsarrow)

arxiv created 1998/01/01 · arxiv updated 2009/11/30

Abstract

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 M_2,2.

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