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arXiv · 1605.08885

Gromov-Witten Theory of Quotient of Fermat Calabi-Yau varieties

Hiroshi Iritani·Todor Milanov·Yongbin Ruan·Yefeng Shen
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Abstract

We construct a global B-model for weighted homogeneous polynomials based on K. Saito's theory of primitive forms. Our main motivation is to give a rigorous statement of the so called global mirror symmetry conjecture relating Gromov-Witten invariants and Fan--Jarvis--Ruan--Witten invariants. Furthermore, our construction allows us to generalize the notion of a quasi-modular form and holomorphic anomaly equations. Finally, we prove the global mirror symmetry conjecture for the Fermat polynomials.

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Hiroshi Iritani, Todor Milanov, Yongbin Ruan, Yefeng Shen. 2016-08-03. Gromov-Witten Theory of Quotient of Fermat Calabi-Yau varieties. https://arxiv.org/abs/1605.08885

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