Deformation Theory of Courant Algebroids via the Rothstein Algebra

Details Deformation Theory of Courant Algebroids via the Rothstein Algebra Deformation Theory of Courant Algebroids via the Rothstein Algebra

2008-07-03

arxiv.org/abs/0807.0584v4

Mathematics

Quantum Algebra

34 pages, major update: included Fedosov construction for the deformation quantization of Courant algebroids

Scientific paper

In this paper we define Courant algebroids in a purely algebraic way and
study their deformation theory by using two different but equivalent graded
Poisson algebras of degree -2. First steps towards a quantization of Courant
algebroids are proposed by employing a Fedosov like deformation quantization.

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