Mukai Flop and Ruan Cohomology

Suppose that two compact manifolds X,X ′ are connected by a sequence of Mukai flops. In this paper, we construct a ring isomorphism between cohomology ring of X and X ′. Using the localization technique, we prove that the quantum corrected products on X,X ′ are the ordinary intersection products. Furthermore, X,X ′ have isomorphic Ruan cohomology. i.e. we proved the cohomological minimal model conjecture proposed by Ruan.