Cup and cap products in intersection (co)homology |
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Authors: | Greg Friedman James E. McClure |
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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 |
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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. |
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Keywords: | primary, 55N33, 55N45 secondary, 57N80, 55M05 |
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