Deformation theory of Courant algebroids via the Rothstein algebra

Frank Keller ^[1] ; Stefan Waldmann ^[2]
1. [1] Polish Academy of Sciences
  
  Polish Academy of Sciences
  
  Warszawa, Polonia
2. [2] Universität Würzburg, Germany
Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 8 (August 2015), 2015, págs. 3391-3426
Idioma: inglés
DOI: 10.1016/j.jpaa.2014.12.002
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Resumen
- In this paper we define Courant algebroids in a purely algebraic way and study their deformation theory by using two different but equivalently graded Poisson algebras of degree −2. First steps towards a quantization of Courant algebroids are proposed by employing a Fedosov like deformation quantization.