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arXiv · 2604.10370

Symplectic algebroids, groupoid Toeplitz operators and deformation quantization

Clément Cren·Jean-Marie Lescure·Omar Mohsen
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Abstract

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 defined on groupoids whose algebroid can be endowed with a Heisenberg group structure on the fibers. This generalizes an approach due to Guillemin and Melrose in the symplectic case.

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Clément Cren, Jean-Marie Lescure, Omar Mohsen. 2026-04-11. Symplectic algebroids, groupoid Toeplitz operators and deformation quantization. https://arxiv.org/abs/2604.10370

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