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arxiv: 1703.05688 · v2 · pith:ONXON6YLnew · submitted 2017-03-16 · 🧮 math.DG

On the composition of Berezin-Toeplitz operators on symplectic manifolds

classification 🧮 math.DG
keywords berezin-toeplitzcompositionoperatorssymplecticassociatedbergmancoefficientcompute
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We compute the second coefficient of the composition of two Berezin-Toeplitz operators associated with the $\text{spin}^c$ Dirac operator on a symplectic manifold, making use of the full-off diagonal expansion of the Bergman kernel.

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