Hochschild Homology and Cohomology of Klein Surfaces

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dc.contributor.authorButin, F.
dc.date.accessioned2019-02-19T13:06:06Z
dc.date.available2019-02-19T13:06:06Z
dc.date.issued2008
dc.description.abstractWithin 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.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue on Deformation Quantization. I would like to thank my thesis advisors Gadi Perets and Claude Roger for their ef ficient and likeable help, for their great availability, and for the time that they devoted to me all along this study. I also thank Daniel Sternheimer who paid attention to my work and the referees for their relevant remarks and their judicious advice. And I am grateful to Serge Parmentier for the rereading of my English text.uk_UA
dc.identifier.citationHochschild Homology and Cohomology of Klein Surfaces / F. Butin // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 18 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 53D55; 13D03; 30F50; 13P10
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149019
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleHochschild Homology and Cohomology of Klein Surfacesuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4, випуск за цей рік