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math-ph2015
Lifting a Weak Poisson Bracket to the Algebra of Forms
Simon L. Lyakhovich, Matthew T. Peddie, Alexey A. Sharapov
We detail the construction of a weak Poisson bracket over a submanifold of a smooth manifold M with respect to a local foliation of this submanifold. Such a bracket satisfies a wea…
math-ph2015★ 2 cited
Odd Laplacians: geometrical meaning of potential, and modular class
H. M. Khudaverdian, M. Peddie
A second order self-adjoint operator is uniquely defined by its principal symbol and potential if it acts on half-densities. We analyse the potential …