Differential Graded Contact Geometry and Jacobi Structures

Authors

Rajan Amit Mehta, Smith CollegeFollow

Document Type

Article

Publication Date

7-2013

Publication Title

Letters in Mathematical Physics

Abstract

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 (with fixed contact form) and Jacobi manifolds. This correspondence allows us to reinterpret the Poissonization procedure, taking Jacobi manifolds to Poisson manifolds, as a supergeometric version of symplectization.

Keywords

Jacobi manifold, contact manifold, differential graded manifold, symplectic manifold, Poisson manifold

Volume

103

Issue

7

First Page

729

Last Page

741

DOI

dx.doi.org/10.1007/s11005-013-0609-6

ISSN

1573-0530

Comments

Peer reviewed accepted manuscript. Language included at the request of the publisher: The final publication is available at Springer via http://dx.doi.org/10.1007/s11005-013-0609-6.

Recommended Citation

Mehta, Rajan Amit, "Differential Graded Contact Geometry and Jacobi Structures" (2013). Mathematics Sciences: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/17