Equivariant cohomology of torus orbifolds

Alastair Darby; Shintarô Kuroki; Jongbaek Song

doi:10.4153/S0008414X20000760

Equivariant cohomology of torus orbifolds

Alastair Darby
, Shintarô Kuroki
, Jongbaek Song^*

^*Corresponding author for this work

Okayama University of Science
Korea Institute for Advanced Study

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

8 Citations (Scopus)

Abstract

We calculate the integral equivariant cohomology, in terms of generators and relations, of locally standard torus orbifolds whose odd degree ordinary cohomology vanishes. We begin by studying GKM-orbifolds, which are more general, before specializing to half-dimensional torus actions.

Original language	English
Pages (from-to)	299-328
Number of pages	30
Journal	Canadian Journal of Mathematics
Volume	74
Issue number	2
DOIs	https://doi.org/10.4153/S0008414X20000760
Publication status	Published - 20 Apr 2022

Keywords

GKM-orbifold
GKM-theory
equivariant cohomology
face ring
torus orbifold

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10.4153/S0008414X20000760

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title = "Equivariant cohomology of torus orbifolds",

abstract = "We calculate the integral equivariant cohomology, in terms of generators and relations, of locally standard torus orbifolds whose odd degree ordinary cohomology vanishes. We begin by studying GKM-orbifolds, which are more general, before specializing to half-dimensional torus actions.",

keywords = "GKM-orbifold, GKM-theory, equivariant cohomology, face ring, torus orbifold",

author = "Alastair Darby and Shintar{\^o} Kuroki and Jongbaek Song",

note = "Publisher Copyright: {\textcopyright} Canadian Mathematical Society 2020.",

year = "2022",

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T1 - Equivariant cohomology of torus orbifolds

AU - Darby, Alastair

AU - Kuroki, Shintarô

AU - Song, Jongbaek

N1 - Publisher Copyright: © Canadian Mathematical Society 2020.

PY - 2022/4/20

Y1 - 2022/4/20

N2 - We calculate the integral equivariant cohomology, in terms of generators and relations, of locally standard torus orbifolds whose odd degree ordinary cohomology vanishes. We begin by studying GKM-orbifolds, which are more general, before specializing to half-dimensional torus actions.

AB - We calculate the integral equivariant cohomology, in terms of generators and relations, of locally standard torus orbifolds whose odd degree ordinary cohomology vanishes. We begin by studying GKM-orbifolds, which are more general, before specializing to half-dimensional torus actions.

KW - GKM-orbifold

KW - GKM-theory

KW - equivariant cohomology

KW - face ring

KW - torus orbifold

UR - https://www.scopus.com/pages/publications/85129845644

U2 - 10.4153/S0008414X20000760

DO - 10.4153/S0008414X20000760

M3 - Article

AN - SCOPUS:85129845644

SN - 0008-414X

VL - 74

SP - 299

EP - 328

JO - Canadian Journal of Mathematics

JF - Canadian Journal of Mathematics

IS - 2

ER -

Equivariant cohomology of torus orbifolds

Abstract

Keywords

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