Getzler symbol calculus and deformation quantization
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Publication:390971
DOI10.1016/j.geomphys.2013.06.011zbMath1280.81079arXiv1211.1755OpenAlexW2964221917MaRDI QIDQ390971
Publication date: 9 January 2014
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.1755
Pseudodifferential operators as generalizations of partial differential operators (35S05) Index theory and related fixed-point theorems on manifolds (58J20) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Cites Work
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- Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem
- Deformation theory and quantization. I: Deformations of symplectic structures
- Fedosov manifolds
- A simple geometrical construction of deformation quantization
- Algebraic index theorem for families
- On the heat equation and the index theorem
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