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On the Duflot Filtration for Equivariant Cohomology Rings

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서명/저자사항On the Duflot Filtration for Equivariant Cohomology Rings.
개인저자Cameron, James Cunningham.
단체저자명University of Washington. Mathematics.
발행사항[S.l.]: University of Washington., 2018.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2018.
형태사항101 p.
기본자료 저록Dissertation Abstracts International 79-12B(E).
Dissertation Abstract International
ISBN9780438176751
학위논문주기Thesis (Ph.D.)--University of Washington, 2018.
일반주기 Source: Dissertation Abstracts International, Volume: 79-12(E), Section: B.
Advisers: John H. Palmieri
요약We study the Fp-cohomology rings of the classifying space of a compact Lie group G using methods from equivariant cohomology. Building on ideas of Duflot and Symonds we study a "rank filtration" on the p-toral equivariant cohomology of a smooth
요약We also refine the Duflot filtration to a filtration by a ranked poset, and from this get a detection result and restrictions on associated primes that generalize some of the work of Carlson and of Okuyama from finite groups to general compact L
요약In the final chapter we show that the derived category of cochains on the Borel construction of a finite G-CW complex is stratified in the sense of Benson, Iyengar, and Krause by the equivariant cohomology ring.
일반주제명Mathematics.
언어영어
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