A Genus-3 Topological Recursion Relation

Details A Genus-3 Topological Recursion Relation A Genus-3 Topological Recursion Relation

2005-02-22

arxiv.org/abs/math/0502457v2

Mathematics

Differential Geometry

Final version. To appear in Commmunications of Mathematical Physics. Corrected some typos and added a section on intersection

Scientific paper

10.1007/s00220-005-1481-8

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.

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