A descendent relation in genus 2
Algebraic Geometry
2007-05-23 v1 High Energy Physics - Theory
Abstract
A new codimension 2 relation among descendent strata in the moduli space of stable, 3-pointed, genus 2 curves is found. The space of pointed admissible double covers is used in the calculation. The resulting differential equations satisfied by the genus 2 gravitational potentials of varieties in Gromov-Witten theory are described. These are analogous to the WDVV-equations in genus 0 and Getzler's equations in genus 1. As an application, genus 2 descendent invariants of the projective plane are determined, including the classical genus 2 Severi degrees.
Cite
@article{arxiv.math/9803072,
title = {A descendent relation in genus 2},
author = {Pasha Belorousski and Rahul Pandharipande},
journal= {arXiv preprint arXiv:math/9803072},
year = {2007}
}
Comments
17 pages, LaTeX2e, with (many) PiCTeX figures