Mukai flop and Ruan cohomology
Tóm tắt
Suppose that two compact symplectic manifolds X,X′ are connected by a sequence of simple Mukai flops. In this paper, we construct a ring isomorphism between cohomology rings 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 verify the cohomological minimal model conjecture proposed by Ruan for the pair (X,X′).
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