Geodesic
Equivariant cobordism of schemes
Documenta mathematica, Tome 17 (2012), pp. 95-134
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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.
DOI : 10.4171/dm/362
Classification : 14C25, 19E15
Mots-clés : group actions, algebraic cobordism 
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     author = {Amalendu Krishna},
     title = {Equivariant cobordism of schemes},
     journal = {Documenta mathematica},
     pages = {95--134},
     year = {2012},
     volume = {17},
     doi = {10.4171/dm/362},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/362/}
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Amalendu Krishna. Equivariant cobordism of schemes. Documenta mathematica, Tome 17 (2012), pp. 95-134. doi: 10.4171/dm/362

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