Topological Recursion Relations on $\bar{\cal M}_{3,2}$

Details Topological Recursion Relations on $\bar{\cal M}_{3,2}$ Topological Recursion Relations on $\bar{\cal M}_{3,2}$

2011-04-22

arxiv.org/abs/1104.4378v1

Mathematics

Differential Geometry

45 pages, LaTex file

Scientific paper

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.

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