A mirror theorem for genus two Gromov-Witten invariants of quintic threefolds
Shuai Guo, Felix Janda, Yongbin Ruan
TL;DR
This paper derives a closed-form generating function for genus two Gromov-Witten invariants of quintic threefolds and confirms the mirror symmetry conjecture proposed by Bershadsky, Cecotti, Ooguri, and Vafa.
Contribution
It provides a new explicit formula for genus two invariants and verifies a key mirror symmetry conjecture for quintic threefolds.
Findings
Closed formula for genus two Gromov-Witten generating function
Verification of the mirror symmetry conjecture for genus two
Advancement in understanding mirror symmetry for higher genus
Abstract
We derive a closed formula for the generating function of genus two Gromov-Witten invariants of quintic 3-folds and verify the corresponding mirror symmetry conjecture of Bershadsky, Cecotti, Ooguri and Vafa.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Combinatorial Mathematics · Geometric and Algebraic Topology