Frobenius Manifolds And Virasoro Constraints
Algebraic Geometry
2007-05-23 v2 High Energy Physics - Theory
Differential Geometry
Exactly Solvable and Integrable Systems
solv-int
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 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.
Cite
@article{arxiv.math/9808048,
title = {Frobenius Manifolds And Virasoro Constraints},
author = {Boris Dubrovin and Youjin Zhang},
journal= {arXiv preprint arXiv:math/9808048},
year = {2007}
}
Comments
Latex, 40 pages