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
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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.