Title: On the Duflot filtration for equivariant cohomology rings
Abstract:We give a systemization of the structure induced on Borel equivariant cohomology by the Duflot filtration, and apply this to give new proofs of results about depth, associated primes, and detection on...We give a systemization of the structure induced on Borel equivariant cohomology by the Duflot filtration, and apply this to give new proofs of results about depth, associated primes, and detection on subgroups for the cohomology rings of classifying spaces of compact Lie groups that were previously only known for the cohomology of finite groups. We also apply our framework to yield computations for the top several local cohomology modules of the cohomology of a $p$-Sylow of $S_{p^n}$, giving vanishing and nonvanishing results for these modules that are stronger than those dictated by the general theory.Read More
Publication Year: 2018
Publication Date: 2018-07-31
Language: en
Type: preprint
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Cited By Count: 2
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