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 S controls the coisotropic deformation problem of S under both Hamiltonian and Jacobi equivalence.
Jacobi bundles and the BFV-complex / Lê, Hông Vân; Tortorella, Alfonso G.; Vitagliano, Luca. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - STAMPA. - 121:(2017), pp. 347-377. [10.1016/j.geomphys.2017.07.025]
Jacobi bundles and the BFV-complex
TORTORELLA, ALFONSO GIUSEPPE
;
2017
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 S controls the coisotropic deformation problem of S under both Hamiltonian and Jacobi equivalence.
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