Frobenius Manifolds And Virasoro Constraints

Details Frobenius Manifolds And Virasoro Constraints Frobenius Manifolds And Virasoro Constraints

1998-08-11

arxiv.org/abs/math/9808048v2

Mathematics

Algebraic Geometry

Latex, 40 pages

Scientific paper

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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