Differential graded contact geometry and Jacobi structures

Details Differential graded contact geometry and Jacobi structures Differential graded contact geometry and Jacobi structures

2011-11-21

arxiv.org/abs/1111.4705v3

Mathematics

Symplectic Geometry

9 pages. v2: Added references, improved proof of Proposition 3.3. v3: Expanded introduction, clarifying remarks, some changes

Scientific paper

We study contact structures on nonnegatively-graded manifolds equipped with homological contact vector fields. In the degree 1 case, we show that there is a one-to-one correspondence between such structures and Jacobi manifolds. This correspondence allows us to reinterpret the Poissonization procedure, taking Jacobi manifolds to Poisson manifolds, as a supergeometric version of symplectization.

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