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2001 The geometry of the local cohomology filtration in equivariant bordism
Dev P. Sinha
Homology Homotopy Appl. 3(2): 385-406 (2001).

Abstract

We present geometric constructions which realize the local cohomology filtration in the setting of equivariant bordism, with the aim of understanding free $G$ actions on manifolds. We begin by reviewing the basic construction of the local cohomology filtration, starting with the Conner-Floyd tom Dieck exact sequence. We define this filtration geometrically using the language of families of subgroups. We then review Atiyah-Segal-Wilson $K$-theory invariants, which are well-suited for studying the manifolds produced by our techniques. We end by indicating potential applications of these ideas.

Citation

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Dev P. Sinha. "The geometry of the local cohomology filtration in equivariant bordism." Homology Homotopy Appl. 3 (2) 385 - 406, 2001.

Information

Published: 2001
First available in Project Euclid: 13 February 2006

zbMATH: 0990.57012
MathSciNet: MR1856033

Subjects:
Primary: 57R85
Secondary: 13D45, 55R40

Rights: Copyright © 2001 International Press of Boston

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Vol.3 • No. 2 • 2001
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