Frobenius Manifolds And Virasoro Constraints

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 $\le 1$ 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.

Latex, 40 pages

References in corpus (6)

• Virasoro constraints and the Chern classes of the Hodge bundle
• Geometry and analytic theory of Frobenius manifolds
• Flat pencils of metrics and Frobenius manifolds
• Constraints For Topological Strings In $D\ge 1$
• Three constructions of Frobenius manifolds: a comparative study
• Counting curves of any genus on rational ruled surfaces

Cited by in corpus (1)

• Hodge integrals and Gromov-Witten theory