Andrea Galasso

activity

20182022

collaborators

5 papers

math.DG2022

Embedding theorems for quantizable pseudo-Kähler manifolds

Andrea Galasso, Chin-Yu Hsiao

Given a compact quantizable pseudo-Kähler manifold $(M, ω)$ of constant signature, there exists a Hermitian line bundle $(L, h)$ over $M$ with curvature $- 2 π i ω$ . We shall show that…

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…

math.SG2018

Equivariant Asymptotics of Szegö kernels under Hamiltonian $S U (2)$ -action

Andrea Galasso, Roberto Paoletti

Let $M$ be complex projective manifold, and $A$ a positive line bundle on it. Assume that $S U (2)$ acts on $M$ in a Hamiltonian manner, with nowhere vanishing moment map, and that t…

math.SG2018

Equivariant Asymptotics of Szegö kernels under Hamiltonian $U (2)$ actions