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The geometry of the local cohomology filtration in equivariant bordism. (English) Zbl 0990.57012

The paper gives geometric constructions which realize the local cohomology filtration in the setting of equivariant bordism, so that a better understanding of the local cohomology filtration can be obtained. For example, the local cohomology filtration can be used to address questions about both the algebra and geometry associated to free \(G\)-actions on manifolds. Such constructions are also applied to answer some questions about realizing the bordism of classifying spaces geometrically.
Reviewer: Shi Lü (Shanghai)

MSC:

57R85 Equivariant cobordism
55R40 Homology of classifying spaces and characteristic classes in algebraic topology
13D45 Local cohomology and commutative rings
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