Gromov–Witten invariants and moduli spaces of curves

  • Xiaobo Liu

    University of Notre Dame, United States
Gromov–Witten invariants and moduli spaces of curves cover

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Abstract

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.