Hochschild Homology and Cohomology of Klein Surfaces
Vernadsky National Library of Ukraine
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Title |
Hochschild Homology and Cohomology of Klein Surfaces
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Creator |
Butin, F.
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Description |
Within the framework of deformation quantization, a first step towards the study of star-products is the calculation of Hochschild cohomology. The aim of this article is precisely to determine the Hochschild homology and cohomology in two cases of algebraic varieties. On the one hand, we consider singular curves of the plane; here we recover, in a different way, a result proved by Fronsdal and make it more precise. On the other hand, we are interested in Klein surfaces. The use of a complex suggested by Kontsevich and the help of Groebner bases allow us to solve the problem.
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Date |
2019-02-19T13:06:06Z
2019-02-19T13:06:06Z 2008 |
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Type |
Article
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Identifier |
Hochschild Homology and Cohomology of Klein Surfaces / F. Butin // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 18 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 53D55; 13D03; 30F50; 13P10 http://dspace.nbuv.gov.ua/handle/123456789/149019 |
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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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