On global deformation quantization in the algebraic case
By Michel van den Bergh. 2006
55 citations recorded by the source corpus.
Abstract We give a proof of Yekutieli's global algebraic deformation quantization result which does not rely on the choice of local sections of the bundle of affine coordinate systems. Instead we use an argument inspired by algebraic De Rham cohomology.
Subfields: Algebra and Number Theory, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/e6910335a58bb87f72d108b7585fa5ba90c788bf
How researchers see this paper
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In Algebra and Number Theory
- Damien Calaque
- M. Gualtieri
- Michel van den Bergh
- Osamu Iyama
- Tatiana Gateva-Ivanova
- Raf Bocklandt
- Nathan Broomhead
- Lingyan Guo
In Mathematical Physics
- Damien Calaque
- M. Gualtieri
- Michel van den Bergh
- Yukinobu Toda
- Anna Fino
- G. Cavalcanti
- D. Waldram
- O. Hohm
In Statistical and Nonlinear Physics
- Damien Calaque
- M. Gualtieri
- Michel van den Bergh
- Anna Fino
- O. Hohm
- B. Zwiebach
- Xiao-Wu Chen
- Fabio Paradiso
Citations in the corpus
- Generalized Kähler Geometry (2010, background): “General results concerning such deformation theories can be found, for example, in [26,48], and a case relevant to generalized geometry has been investigated in [12].”
- Hochschild cohomology and Atiyah classes (2007, methodology): “morphism on cohomology. The isomorphism in HoLieAlg(X) is obtained by globalizing a local formality isomorphism [13, 23]. Theorem 1.6 can be considered a generalization of global formality results in [3, 7, 8, 13, 24, 29] If we take Kontsevich’s local formality isomorphism then we obtain compatibili”