Twisted K-theory
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Twisted K-theory
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| Creator |
Atiyah, M.
Segal, G. |
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| Description |
Twisted complex K-theory can be defined for a space X equipped with a bundle of complex projective spaces, or, equivalently, with a bundle of C*-algebras. Up to equivalence, the twisting corresponds to an element of H³(X; Z). We give a systematic account of the definition and basic properties of the twisted theory, emphasizing some points where it behaves differently from ordinary K-theory. (We omit, however, its relations to classical cohomology, which we shall treat in a sequel.) We develop an equivariant version of the theory for the action of a compact Lie group, proving that then the twistings are classified by the equivariant cohomology group H³G (X; Z). We also consider some basic examples of twisted K-theory classes, related to those appearing in the recent work of Freed-Hopkins-Teleman.
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| Date |
2017-09-30T11:09:53Z
2017-09-30T11:09:53Z 2004 |
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| Type |
Article
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| Identifier |
Twisted K-theory / M. Atiyah, G. Segal // Український математичний вісник. — 2004. — Т. 1, № 3. — С. 287-330. — Бібліогр.: 29 назв. — англ.
1810-3200 2000 MSC. 55-xx, 55N15, 55N91, 19Kxx. http://dspace.nbuv.gov.ua/handle/123456789/124621 |
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| Language |
en
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| Relation |
Український математичний вісник
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| Publisher |
Інститут прикладної математики і механіки НАН України
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