Jacobi bundles and the BFV-complex
Differential Geometry
2017-09-04 v2 Mathematical Physics
math.MP
Symplectic Geometry
Abstract
We extend the construction of the BFV-complex of a coisotropic submanifold from the Poisson setting to the Jacobi setting. In particular, our construction applies in the contact and l.c.s. settings. The BFV-complex of a coisotropic submanifold controls the coisotropic deformation problem of under both Hamiltonian and Jacobi equivalence.
Keywords
Cite
@article{arxiv.1601.04540,
title = {Jacobi bundles and the BFV-complex},
author = {Hông Vân Lê and Alfonso G. Tortorella and Luca Vitagliano},
journal= {arXiv preprint arXiv:1601.04540},
year = {2017}
}
Comments
v2: 51 pages, added a new section on an obstructed example in the contact setting, final version to appear in J. Geom. Phys., comments still welcome!