The representation-ring-graded local cohomology spectral sequence for BPℝ⟨3⟩

J. P.C. Greenlees; Dae Woong Lee

doi:10.1080/00927872.2018.1427253

The representation-ring-graded local cohomology spectral sequence for BPℝ⟨3⟩

J. P.C. Greenlees^*
, Dae Woong Lee

^*Corresponding author for this work

Department of Mathematics

University of Sheffield

Research output: Contribution to journal › Journal article › peer-review

6 Scopus citations

Abstract

The purpose of this paper is to examine the calculational consequences of the duality proved by the first author and Meier in [13], making them explicit in one more example. We give an explicit description of the behaviour of the spectral sequence in the title, with pictures.

Original language	English
Pages (from-to)	2396-2411
Number of pages	16
Journal	Communications in Algebra
Volume	47
Issue number	6
DOIs	https://doi.org/10.1080/00927872.2018.1427253
State	Published - 2019.06.3

Keywords

Anderson duality;
Brown-Peterson spectrum;
equivariant cohomology;
Gorenstein duality;
local cohomology spectral sequence;
real orientation

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.1080/00927872.2018.1427253

Cite this

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title = "The representation-ring-graded local cohomology spectral sequence for BPℝ⟨3⟩",

abstract = "The purpose of this paper is to examine the calculational consequences of the duality proved by the first author and Meier in [13], making them explicit in one more example. We give an explicit description of the behaviour of the spectral sequence in the title, with pictures.",

keywords = "Anderson duality;, Brown-Peterson spectrum;, equivariant cohomology;, Gorenstein duality;, local cohomology spectral sequence;, real orientation",

author = "Greenlees, \{J. P.C.\} and Lee, \{Dae Woong\}",

note = "Publisher Copyright: {\textcopyright} 2018, {\textcopyright} 2018 Taylor \& Francis.",

year = "2019",

month = jun,

day = "3",

doi = "10.1080/00927872.2018.1427253",

language = "English",

volume = "47",

pages = "2396--2411",

journal = "Communications in Algebra",

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T1 - The representation-ring-graded local cohomology spectral sequence for BPℝ⟨3⟩

AU - Greenlees, J. P.C.

AU - Lee, Dae Woong

PY - 2019/6/3

Y1 - 2019/6/3

N2 - The purpose of this paper is to examine the calculational consequences of the duality proved by the first author and Meier in [13], making them explicit in one more example. We give an explicit description of the behaviour of the spectral sequence in the title, with pictures.

AB - The purpose of this paper is to examine the calculational consequences of the duality proved by the first author and Meier in [13], making them explicit in one more example. We give an explicit description of the behaviour of the spectral sequence in the title, with pictures.

KW - Anderson duality;

KW - Brown-Peterson spectrum;

KW - equivariant cohomology;

KW - Gorenstein duality;

KW - local cohomology spectral sequence;

KW - real orientation

UR - https://www.scopus.com/pages/publications/85065543567

U2 - 10.1080/00927872.2018.1427253

DO - 10.1080/00927872.2018.1427253

M3 - Journal article

AN - SCOPUS:85065543567

SN - 0092-7872

VL - 47

SP - 2396

EP - 2411

JO - Communications in Algebra

JF - Communications in Algebra

IS - 6

ER -

The representation-ring-graded local cohomology spectral sequence for BPℝ⟨3⟩

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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