Jacobi bundles and the BFV-complex
classification
🧮 math.DG
math-phmath.MPmath.SG
keywords
bfv-complexcoisotropicjacobiconstructionsettingsubmanifoldappliesbundles
read the original 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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