Equivariant cobordism of schemes

Krishna, Amalendu (2012) Equivariant cobordism of schemes Documenta Mathematica, 17 . pp. 95-134. ISSN 1431-0635

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Official URL: https://www.math.uni-bielefeld.de/documenta/vol-17...


Let k be a field of characteristic zero. For a linear algebraic group G over k acting on a scheme X, we define the equivariant algebraic cobordism of X and establish its basic properties. We explicitly describe the relation of equivariant cobordism with equivariant Chow groups, K-groups and complex cobordism. We show that the rational equivariant cobordism of a G-scheme can be expressed as the Weyl group invariants of the equivariant cobordism for the action of a maximal torus of G. As applications, we show that the rational algebraic cobordism of the classifying space of a complex linear algebraic group is isomorphic to its complex cobordism.

Item Type:Article
Source:Copyright of this article belongs to European Mathematical Society.
Keywords:Algebraic Cobordism; Group Actions
ID Code:102480
Deposited On:09 Mar 2018 10:47
Last Modified:09 Mar 2018 10:47

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