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nlin.SI2025
Multidimensional multiplicative Poisson vertex algebras
Pengfei Yang, Matteo Casati
In this paper we introduce the notion of multidimensional multiplicative Poisson vertex algebra, the generalization of the notion of multiplicative Poisson vertex algebra to a diff…
math.DG2025
On the structure of homogeneous local Poisson brackets
Guido Carlet, Matteo Casati
We consider an arbitrary Dubrovin-Novikov bracket of degree , namely a homogeneous degree local Poisson bracket on the loop space of a smooth manifold of dimension ,…