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Barcelona Algebraic Topology Group
Friday's Topology Seminar 2013-2014 PDF Print E-mail
Written by Jaume Aguadé   
Friday, 04 July 2014 08:33

Date and place: July 18, 2014. 12am. CRM, small lecture room.

Speaker : Shizuo Kaji (Yamaguchi U)

Title: A product in equivariant homology for compact Lie group actions

Abstract: The Tate cohomology for a finite group integrates group homology and cohomology into one theory. It is equipped with a cup product, which coincides with the usual one on cohomology and gives a ring structure on homology. A few attempts have been made to generalise this product structure on homology. We follow the line of Kreck and Tene. Kreck defined a product on H_*(BG;Z) for a compact Lie group G based on his geometric homology theory and Tene showed it coincides with the cup product on the Tate cohomology when G is finite. We will generalise this product to one on the equivariant homology of a manifold with a nice action of a Lie group. Our construction is simple and purely homotopy theoretical. This is a joint work with Haggai Tene.

 
Presentation

This is the web site of the Algebraic Topology Team in Barcelona (Grup de Topologia Algebraica de Barcelona, 2009SGR-1092). Our research interests include a variety of subjects in algebraic topology, group theory, homological algebra, and category theory. Here you will find information about us and our common activities.

 

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