The INI has a new website!

This is a legacy webpage. Please visit the new site to ensure you are seeing up to date information.

Isaac Newton Institute for Mathematical Sciences

Obstructions for the deformation quantisation of integrable systems

Presenter: Georgy Sharygin (ITEP, Moscow and MSU, Moscow)

Co-author: Dmitry Talalaev (ITEP, Moscow and MSU, Moscow)

Abstract

In this work we discuss a construction, providing sufficient conditions for the existence of a deformation quantisation of a Poisson algebra, which preserves the commutativity of a subalgebra in it (if this subalgebra is Poisson-commutative). These conditions are expressible in the terms of vanishing of certain classes in the Poisson homology of the subalgebra with coefficients in a module. They are the generaisations of the similar classes of Garay and van Straten.

Related Links