Deformation Theory of Courant Algebroids via the Rothstein Algebra

Abstract

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.

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

References in corpus (2)

• Derived brackets
• Deformation von Lie-Algebroiden und Dirac-Strukturen

Cited by in corpus (3)

• Generalized Metric Formulation of Double Field Theory on Group Manifolds
• Nijenhuis structures on Courant algebroids
• Stability of fixed points in Poisson geometry and higher Lie theory