Genus-2 Gromov-Witten invariants for manifolds with semisimple quantum cohomology

Abstract

In this paper, we give a simple formula for the generating function of genus-2 Gromov-Witten invariants for manifolds with semisimple quantum cohomology, and use this formula to prove the genus-2 Virasoro conjecture for such manifolds.

31 pages, LaTex format. Added another proof for genus-2 Virasoro conjecture for manifolds with semisimple quantum cohomology. Improved presentation

Cited by in corpus (1)

• Witten's conjecture, Virasoro conjecture, and invariance of tautological equations