Quantum Cohomology at Higher Genus: Topological Recursion Relations and Virasoro Conditions
Abstract
We construct topological recursion relations (TRR's) at higher genera g2 for general 2-dimensional topological field theories coupled to gravity. These TRR's when combined with Virasoro conditions enable one to determine the number of higher genus holomorphic curves in any Fano varieties. In the case of CP2 we reproduce the known results at genus g=2.
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