Frobenius manifolds and Virasoro constraints

• B. Dubrovin ^[2] ; Y. Zhang ^[1]
  1. [1] Tsinghua University

     Tsinghua University

     China

     
  2. [2] SISSA, Italia
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 5, Nº. 4, 1999, págs. 423-466
• Idioma: inglés
• DOI: 10.1007/s000290050053
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• Resumen

  • 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. In particular, the genus ≤ 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.