1301.4799 (Andrew James Bruce)

Odd Jacobi manifolds and Loday-Poisson brackets    [PDF]

Andrew James Bruce

In this paper we construct a non-skewsymmetric version of a Poisson bracket on the algebra of smooth functions on an odd Jacobi supermanifold. We refer to such Poisson-like brackets as Loday-Poisson brackets. We examine the relations between the Hamiltonian vector fields with respect to both the odd Jacobi structure and the Loday-Poisson structure. Interestingly, these relations are identical to the Cartan identities.

View original: http://arxiv.org/abs/1301.4799