Geodesic
Equivariant cobordism of schemes
Documenta mathematica, Tome 17 (2012), pp. 95-134.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 14C25, 19E15
Keywords: algebraic cobordism, group actions 
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     author = {Krishna, Amalendu},
     title = {Equivariant cobordism of schemes},
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     pages = {95--134},
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     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2012__17__a26/}
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Krishna, Amalendu. Equivariant cobordism of schemes. Documenta mathematica, Tome 17 (2012), pp. 95-134. http://geodesic.mathdoc.fr/item/DOCMA_2012__17__a26/