Contact Courant algebroids and [formula omitted]-algebras

Abstract

Let L be a line bundle over M. In this paper, we associate an L∞-algebra to any L-Courant algebroid (contact Courant algebroid in the sense of Grabowski). This construction is similar to the work of Roytenberg and Weinstein for Courant algebroids. Next we associate a p-term L∞-algebra to any isotropic involutive subbundle of (DL)p≔DL⊕(∧p(DL)∗⊗L), where DL is the gauge algebroid of L. In a particular case, we relate these L∞-algebras by a suitable morphism.