Equivariant cobordism of schemes

2010/06/16 by Amalendu Krishna, Krishna, Amalendu
Mathematics · #14C25 #19E15 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14C25 #msc:19E15

paper · pdf · doi:10.48550/arxiv.1006.3176

This revised version supercedes arxiv:1006:3176

arxiv created 2010/10/25 · arxiv updated 2010/10/26

Abstract

We study the equivariant cobordism theory of schemes for action of linear algebraic groups. We compare the equivariant cobordism theory for the action of a linear algebraic groups with similar groups for the action of tori and deduce some consequences for the cycle class map of the classifying space of an algebraic groups.

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