7 jun 2023 -- 11:30
Aula Tricerri, DIMaI, Firenze
Seminari di Geometria del Dini
Abstract.
Using Fedosov's construction in deformation quantisation, we propose a family of star products associated to complex polarisations on a symplectic manifold and we construct the action of a function on a section of the prequantum line bundle. In the case of symplectic vector spaces, the star products are non-formal, and are compatible with the projectively flat connection on the bundle of Hilbert spaces.