Gromov�Witten invariants and moduli spaces of curves

• Autores: Xiaobo Liu
• Localización: Proceedings oh the International Congress of Mathematicians: Madrid, August 22-30,2006 : invited lectures / coord. por Marta Sanz Solé , Javier Soria de Diego , Juan Luis Varona Malumbres , Joan Verdera , Vol. 2, 2006, ISBN 978-3-03719-022-7, págs. 791-812
• Idioma: inglés
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• Resumen

  • The purpose of this note is to explain how much information of Gromov�Witten invariants of compact symplectic manifolds are determined by the geometry of moduli spaces of curves. In the case when a manifold has semisimple quantum cohomology, we believe that the information obtained this way might determine all higher genus Gromov�Witten invariants and could be used to study the Virasoro conjecture of Eguchi�Hori�Xiong and S. Katz.