2 citations · 4 across the 4 of their papers we have counts for
5 papers
Quantization of (-1)-Shifted Derived Poisson Manifolds
Kai Behrend, Matt Peddie, Ping Xu
We investigate the quantization problem of -shifted derived Poisson manifolds in terms of $\BV_\infty$-operators on the space of Berezinian half-densities. We prove that quan…
Homotopy Loday Algebras and Symplectic -Manifolds
Matthew T. Peddie
Using the technique of higher derived brackets developed by Voronov, we construct a homotopy Loday algebra in the sense of Ammar and Poncin associated to any symplectic -manifol…
Odd Symmetric Tensors, and an Analogue of the Levi-Civita Connection for an Odd Symplectic Supermanifold
H. M. Khudaverdian, M. Peddie
We consider odd Poisson (odd symplectic) structure on supermanifolds induced by an odd symmetric rank (non-degenerate) contravariant tensor field. We describe the difference be…
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…
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 …