A Genus-3 Topological Recursion Relation |
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| Authors: | Takashi Kimura Xiaobo Liu |
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| Affiliation: | (1) Department of Mathematics and Statistics, Boston University, 111 Cummington St, Boston, MA 02215, USA;(2) Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, USA |
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| 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. Research of the first author was partially supported by NSF grant DMS-0204824 Research of the second author was partially supported by NSF grant DMS-0505835 |
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