Andrea Galasso

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20182026

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math.CV2024

Quantization and reduction for torsion free CR manifolds

Andrea Galasso, Chin-Yu Hsiao

Consider a compact torsion free CR manifold $X$ and assume that $X$ admits a compact CR Lie group action $G$ . Let $L$ be a $G$ -equivariant rigid CR line bundle over $X$ . It seems n…

math.CV2021

Toeplitz operators on CR manifolds and group actions

Andrea Galasso, Chin-Yu Hsiao

Let $(X, T^{1, 0} X)$ be a connected orientable compact CR manifold of dimension $2 n + 1$ , $n \geq 1$ with non-degenerate Levi curvature. In this paper, we study the algebra of Toeplit…

math.CV2020

Equivariant fixed point formulae and Toeplitz operators under Hamiltonian torus actions

Andrea Galasso

The main result of this paper is the description of asymptotics along rays in weight space of traces of equivariant Toeplitz operators composed with quantomorphisms for torus actio…