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Mukai Flop and Ruan Cohomology | | Jianxun Hu
; Wanchuan Zhang
; | | Date: |
3 Feb 2003 | | Subject: | Algebraic Geometry; Symplectic Geometry MSC-class: 14N35 | math.AG math.SG | | Abstract: | 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 local mirror symmetry 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. | | Source: | arXiv, math.AG/0302022 | | Services: | Forum | Review | PDF | Favorites | |
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