Defines higher Courant-Dorfman algebras and higher Poisson vertex algebras, relates them to dg symplectic manifolds of degree n, proves analogous properties to classical versions, and applies the framework to BFV current algebras.
Deformation Theory of Courant Algebroids via the Rothstein Algebra
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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.
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Higher Courant-Dorfman algebras and associated higher Poisson vertex algebras
Defines higher Courant-Dorfman algebras and higher Poisson vertex algebras, relates them to dg symplectic manifolds of degree n, proves analogous properties to classical versions, and applies the framework to BFV current algebras.