Topological Recursion Relations in Gromov-Witten Invariants
报告人:
刘小博 教授
University of Notre Dame
报告时间:
2010-11-25 16:00
报告地点:
理科楼1304报告厅
主办单位:
数学系
简介:
"Relations in tautological ring of moduli spaces of stable curves can produce universal equations for Gromov-Witten invariants for all compact symplectic manifolds. Such equations can be used to compute enumerative invariants and prove the Virasoro conjecture for certain manifolds. A typical example of genus-0 universal equations is the WDVV equation, which gives the associativity of the quantum cohomology. Finding such relations in higher genera is a very difficult problem. I will talk about some topological recursion relations for all genera which were proved in a joint paper with R. Pandharipande. Some of these relations were used to prove a conjecture of Kefeng Liu and Hao Xu."
