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Frobenius Manifolds And Virasoro Constraints

Boris Dubrovin·Youjin Zhang
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Abstract

For an arbitrary Frobenius manifold a system of Virasoro constraints is constructed. In the semisimple case these constraints are proved to hold true in the genus one approximation. Particularly, the genus $\leq 1$ Virasoro conjecture of T.Eguchi, K.Hori, M.Jinzenji, and C.-S.Xiong and of S.Katz is proved for smooth projective varieties having semisimple quantum cohomology.

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Boris Dubrovin, Youjin Zhang. 1999-04-19. Frobenius Manifolds And Virasoro Constraints. https://arxiv.org/abs/math/9808048

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