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math.SG2026
Symplectic algebroids, groupoid Toeplitz operators and deformation quantization
Clément Cren, Jean-Marie Lescure, Omar Mohsen
We use Toeplitz operators to define a star-product on Poisson manifolds whose Poisson structure is induced by a symplectic Lie algebroid. The Toeplitz operators we consider are def…
math.DG2026
Families of Toeplitz operators, family index and deformation quantization
Clément Cren, Erfan Rezaei
Given a contact fibration, we construct smooth families of Szegö projections on the fibers. This allows us to define smooth families of Toeplitz operators. We apply these operators…