A spectral sequence for Bredon cohomology

D. Blanc; D. Sen

doi:10.1007/s40062-013-0022-y

A spectral sequence for Bredon cohomology

D. Blanc, D. Sen

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-review

Abstract

For any finite group G, we construct a spectral sequence for computing the Bredon cohomology of a G-CW complex X, starting with the cohomology of X^H/{n-ary union}_K>HX^K with suitable local coefficients, for various H ≤ G.

Original language	American English
Pages (from-to)	279-305
Number of pages	27
Journal	Journal of Homotopy and Related Structures
Volume	8
Issue number	2
DOIs	https://doi.org/10.1007/s40062-013-0022-y
State	Published - Oct 2013

Keywords

Bredon cohomology
Cohomology with local coefficients
Equivariant homotopy theory
Spectral sequence

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Geometry and Topology

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10.1007/s40062-013-0022-y

Cite this

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title = "A spectral sequence for Bredon cohomology",

abstract = "For any finite group G, we construct a spectral sequence for computing the Bredon cohomology of a G-CW complex X, starting with the cohomology of XH/{n-ary union}K>HXK with suitable local coefficients, for various H ≤ G.",

keywords = "Bredon cohomology, Cohomology with local coefficients, Equivariant homotopy theory, Spectral sequence",

author = "D. Blanc and D. Sen",

note = "Funding Information: This research was partially funded by a grant from the Israel Science Foundation.",

year = "2013",

month = oct,

doi = "10.1007/s40062-013-0022-y",

language = "American English",

volume = "8",

pages = "279--305",

journal = "Journal of Homotopy and Related Structures",

issn = "2193-8407",

publisher = "Springer Science + Business Media",

number = "2",

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TY - JOUR

T1 - A spectral sequence for Bredon cohomology

AU - Blanc, D.

AU - Sen, D.

N1 - Funding Information: This research was partially funded by a grant from the Israel Science Foundation.

PY - 2013/10

Y1 - 2013/10

N2 - For any finite group G, we construct a spectral sequence for computing the Bredon cohomology of a G-CW complex X, starting with the cohomology of XH/{n-ary union}K>HXK with suitable local coefficients, for various H ≤ G.

AB - For any finite group G, we construct a spectral sequence for computing the Bredon cohomology of a G-CW complex X, starting with the cohomology of XH/{n-ary union}K>HXK with suitable local coefficients, for various H ≤ G.

KW - Bredon cohomology

KW - Cohomology with local coefficients

KW - Equivariant homotopy theory

KW - Spectral sequence

UR - http://www.scopus.com/inward/record.url?scp=84883367592&partnerID=8YFLogxK

U2 - 10.1007/s40062-013-0022-y

DO - 10.1007/s40062-013-0022-y

M3 - Article

SN - 2193-8407

VL - 8

SP - 279

EP - 305

JO - Journal of Homotopy and Related Structures

JF - Journal of Homotopy and Related Structures

IS - 2

ER -

A spectral sequence for Bredon cohomology

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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