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Cup and cap products in intersection (co)homology
Authors:Greg Friedman  James E. McClure
Affiliation:1. Department of Mathematics, Texas Christian University, Box 298900, Fort Worth, TX 76129, United States;2. Department of Mathematics, Purdue University, 150 N University St, West Lafayette, IN 47907-2067, United States
Abstract:We construct cup and cap products in intersection (co)homology with field coefficients. The existence of the cap product allows us to give a new proof of Poincaré duality in intersection (co)homology which is similar in spirit to the usual proof for ordinary (co)homology of manifolds.
Keywords:primary, 55N33, 55N45   secondary, 57N80, 55M05
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