Twists on the Torus Equivariant under the 2-Dimensional Crystallographic Point Groups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Twists on the Torus Equivariant under the 2-Dimensional Crystallographic Point Groups
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| Creator |
Gomi, K.
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| Description |
A twist is a datum playing a role of a local system for topological K-theory. In equivariant setting, twists are classified into four types according to how they are realized geometrically. This paper lists the possible types of twists for the torus with the actions of the point groups of all the 2-dimensional space groups (crystallographic groups), or equivalently, the torus with the actions of all the possible finite subgroups in its mapping class group. This is carried out by computing Borel's equivariant cohomology and the Leray-Serre spectral sequence. As a byproduct, the equivariant cohomology up to degree three is determined in all cases. The equivariant cohomology with certain local coefficients is also considered in relation to the twists of the Freed-Moore K-theory.
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| Date |
2019-02-18T16:44:13Z
2019-02-18T16:44:13Z 2017 |
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| Type |
Article
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| Identifier |
Twists on the Torus Equivariant under the 2-Dimensional Crystallographic Point Groups / K. Gomi // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 29 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 53C08; 55N91; 20H15; 81T45 DOI:10.3842/SIGMA.2017.014 http://dspace.nbuv.gov.ua/handle/123456789/148623 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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