%0 Journal Article %J Selecta Math. (N.S.) 5 (1999) 423-466 %D 1999 %T Frobenius manifolds and Virasoro constraints %A Boris Dubrovin %A Zhang Youjin %X 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. %B Selecta Math. (N.S.) 5 (1999) 423-466 %I Springer %G en_US %U http://hdl.handle.net/1963/2883 %1 1817 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-09-10T09:34:57Z\\nNo. of bitstreams: 1\\n9808048v2.pdf: 352376 bytes, checksum: 12496406fad546b37d3f66131d2d51ee (MD5) %R 10.1007/s000290050053