2003/02/03 by Jianxun Hu, Hu, Jianxun, Wanchuan Zhang +1
Mathematics · #14N35 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #math.AG #math.SG #msc:14N35
paper · pdf · doi:10.48550/arxiv.math/0302022
openalex publication_date 2003/02/03 · arxiv created 2003/02/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.