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Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, 2005, Volume 147, Book 1, Pages 192–196
(Mi uzku492)
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Quantum de Rham cohomology ring for Poisson manifolds
V. V. Shurygin (Jr.) Kazan State University
Abstract:
In [4] we have proved that the quantum de Rham cohomology of a Poisson manifold $(M, \omega)$ (see [1]) can be obtained via deformational quantization of the de Rham cohomology of $M$. In this paper we prove that the ring structure on the quantum cohomology of $(M,\omega)$ is obtained via deformational quantization of the ring structure of de Rham cohomology of $M$.
Received: 12.01.2005
Citation:
V. V. Shurygin (Jr.), “Quantum de Rham cohomology ring for Poisson manifolds”, Труды геометрического семинара, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 147, no. 1, Kazan University, Kazan, 2005, 192–196
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https://www.mathnet.ru/eng/uzku492 https://www.mathnet.ru/eng/uzku/v147/i1/p192
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Abstract page: | 285 | Full-text PDF : | 121 | References: | 25 |
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