Torus orbifolds with two fixed points

Alastair Darby; Shintaro Kuroki; Jongbaek Song

doi:10.1007/978-981-13-5742-8_5

Torus orbifolds with two fixed points

Alastair Darby^*
, Shintaro Kuroki
, Jongbaek Song

^*Corresponding author for this work

Okayama University of Science
Korea Advanced Institute of Science and Technology

Research output: Chapter in Book or Report/Conference proceeding › Chapter › peer-review

1 Citation (Scopus)

Abstract

The main objects of this paper are torus orbifolds that have exactly two fixed points. We study the equivariant topological type of these orbifolds and consider when we can use the results of (Darby et al., Equivariant cohomology of torus orbifolds, arXiv:1809.03678 [8]) to compute its integral equivariant cohomology, in terms of generators and relations, coming from the corresponding orbifold torus graph.

Original language	English
Title of host publication	Trends in Mathematics
Publisher	Springer International Publishing
Pages	67-85
Number of pages	19
DOIs	https://doi.org/10.1007/978-981-13-5742-8_5
Publication status	Published - 2019

Publication series

Name	Trends in Mathematics
ISSN (Print)	2297-0215
ISSN (Electronic)	2297-024X

Keywords

Equivariant cohomology
Face ring
Orbifold
Torus action
Torus orbifold

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10.1007/978-981-13-5742-8_5

Cite this

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abstract = "The main objects of this paper are torus orbifolds that have exactly two fixed points. We study the equivariant topological type of these orbifolds and consider when we can use the results of (Darby et al., Equivariant cohomology of torus orbifolds, arXiv:1809.03678 [8]) to compute its integral equivariant cohomology, in terms of generators and relations, coming from the corresponding orbifold torus graph.",

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KW - Face ring

KW - Orbifold

KW - Torus action

KW - Torus orbifold

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Torus orbifolds with two fixed points

Abstract

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