Topological Recursion Relations on $\bar{\cal M}_{3,2}$
Differential Geometry
2015-06-12 v2 Mathematical Physics
Algebraic Geometry
math.MP
Abstract
In this paper, we give some new genus-3 universal equations for Gromov-Witten invariants of compact symplectic manifolds. These equations were obtained by studying new relations in the tautological ring of the moduli space of 2-pointed genus-3 stable curves. A byproduct of our search for genus-3 equations is a new genus-2 universal equation for Gromov-Witten invariants.
Cite
@article{arxiv.1104.4378,
title = {Topological Recursion Relations on $\bar{\cal M}_{3,2}$},
author = {Takashi Kimura and Xiaobo Liu},
journal= {arXiv preprint arXiv:1104.4378},
year = {2015}
}
Comments
48 pages, LaTex file