Differential Graded Contact Geometry and Jacobi Structures

作者：Mehta Rajan Amit^*

来源：Letters in Mathematical Physics, 2013, 103(7): 729-741.

DOI：10.1007/s11005-013-0609-6

• Jacobi manifold
• contact manifold
• differential graded manifold
• symplectic manifold
• Poisson manifold

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.

• 出版日期2013-7