A Genus-3 Topological Recursion Relation
Differential Geometry
2009-11-11 v2 Algebraic Geometry
Abstract
In this paper, we give a new genus-3 topological recursion relation for Gromov-Witten invariants of compact symplectic manifolds. This formula also applies to intersection numbers on moduli spaces of spin curves. A by-product of the proof of this formula is a new relation in the tautological ring of the moduli space of 1-pointed genus-3 stable curves.
Cite
@article{arxiv.math/0502457,
title = {A Genus-3 Topological Recursion Relation},
author = {Takashi Kimura and Xiaobo Liu},
journal= {arXiv preprint arXiv:math/0502457},
year = {2009}
}
Comments
Final version. To appear in Commmunications of Mathematical Physics. Corrected some typos and added a section on intersection numbers on moduli spaces of curves. LaTex file, 19 pages, 1 figure