Formality of equivariant intersection cohomology

2001/01/23 by Andrzej Weber, Weber, Andrzej
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG

paper · pdf · doi:10.48550/arxiv.math/0101189

6 pages, AMS-TeX, paper reorganized, some new remarks

openalex publication_date 2001/01/23 · arxiv created 2001/12/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present several approaches to equivariant intersection cohomology. We show that for a complete algebraic variety acted by a connected algebraic group G it is a free module over H^*(BG). The result follows from the decomposition theorem or from a weight argument.

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