Descendant and Fourier-Mukai equivalences for simple flops

Abstract

For a simple flop $X⇢X^{\prime }$, we construct a correspondence between genus $0$ descendant Gromov-Witten theories of $X$ and $X^{\prime }$. We show that the Fourier-Mukai equivalence induced by $X⇢X^{\prime }$ is compatible, in a precise sense, with the descendant correspondence.

12 pages