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Hochschild Homology and Cohomology of Klein Surfaces
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
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Hochschild Homology and Cohomology of Klein Surfaces
Інший ID:
2000 Mathematics Subject Classification: 53D55; 13D03; 30F50; 13P10
Посилання:
Hochschild Homology and Cohomology of Klein Surfaces / F. Butin // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 18 назв. — англ.
Підтримка:
This 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.
Дата:
2008
Переглядів:
495
Завантажень:
224
Анотація:
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.
