| Affiliation: | (1) Department of Mathematics, Zhongshan University, Guangzhou, 510275, P.R. China;(2) Department of Mathematics, University of Wisconsin-Madison, Madison, WI 53706, USA |
| Abstract: | 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).Mathematics Subject Classification (2001): 14N35, 53D45Supported in part by NSF of China (10171114 and 10231050).Revised version: 9 April 2004 |
