A Genus-3 Topological Recursion Relation
arXiv:math/0502457 · doi:10.1007/s00220-005-1481-8
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.
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
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- Topological recursion relations from Pixton's formula
- Invariance of tautological equations I: conjectures and applications
- Formal pseudodifferential operators and Witten's r-spin numbers
- New topological recursion relations
- Tautological equation in \bar{M}_{3,1} via invariance conjectures
- On Certain Vanishing Identities For Gromov-Witten Invariants
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