Andrea Galasso

activity

20182026

most citedEquivariant Asymptotics of Szegö kernels under Hamiltonian

U (2)

actions

4 citations · 6 across the 13 of their papers we have counts for

collaborators

13 papers

math.SG2026

Pseudo--Kähler induction on Lie groups with entire Grauert tubes

Gabriele Barbieri, Andrea Galasso

Given a closed subgroup $H \subseteq G$ and a Hamiltonian $H$ -space $Y$ , one can construct an induced Hamiltonian $G$ -space. In this paper we investigate this construction in the se…

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.SG2024

Strict Quantization for Compact Pseudo-Kähler Manifolds and Group Actions

Andrea Galasso

The asymptotic results for Berezin-Toeplitz operators yield a strict quantization for the algebra of smooth functions on a given Hodge manifold. It seems natural to generalize this…

math.DG2023

Remarks on asymptotic isometric embeddings of conic transforms for torus actions

Andrea Galasso

Consider a Hodge manifold and assume that a torus acts on it in a Hamiltonian and holomorphic manner and that this action linearizes on a given quantizing line bundle. Inside the d…

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.CV2022

On the singularities of the Szegő kernels on CR orbifolds

Andrea Galasso, Chin-Yu Hsiao

In this paper we study the microlocal properties of the Szegő kernel of a given compact connected orientable CR orbifold whose Kohn Laplacian has closed range. This last assumption…

math.FA2021

Functional calculus and quantization commutes with reduction for Toeplitz operators on CR manifolds

Andrea Galasso, Chin-Yu Hsiao

Given a CR manifold with non-degenerate Levi form, we show that the operators of the functional calculus for Toeplitz operators are complex Fourier integral operators of Szegő type…

math.CV2021

Commutativity of quantization with conic reduction for torus actions on compact CR manifolds

Andrea Galasso

We define conic reduction $X_{ν}^{red}$ for torus actions on the boundary $X$ of a strictly pseudo-convex domain and for a given weight $ν$ labeling a unitary irreducible re…

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.SG2020

Equivariant asymptotics of Szegö kernels under Hamiltonian $S U (2) \times S^{1}$ -actions

Andrea Galasso

Let $M$ be complex projective manifold and $A$ a positive line bundle on it. Assume that a compact and connected Lie group $G$ acts on $M$ in a Hamiltonian and holomorphic manner a…

math.SG2018★ 2 cited

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★ 4 cited

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

Andrea Galasso, Roberto Paoletti

Let $M$ be complex projective manifold, and $A$ a positive line bundle on it. Assume that a compact and connected Lie group $G$ acts on $M$ in a Hamiltonian manner, and that this a…

Pseudo--Kähler induction on Lie groups with entire Grauert tubes

Quantization and reduction for torsion free CR manifolds

Strict Quantization for Compact Pseudo-Kähler Manifolds and Group Actions

Remarks on asymptotic isometric embeddings of conic transforms for torus actions

Embedding theorems for quantizable pseudo-Kähler manifolds

On the singularities of the Szegő kernels on CR orbifolds

Functional calculus and quantization commutes with reduction for Toeplitz operators on CR manifolds

Commutativity of quantization with conic reduction for torus actions on compact CR manifolds

Toeplitz operators on CR manifolds and group actions

Equivariant fixed point formulae and Toeplitz operators under Hamiltonian torus actions

Equivariant asymptotics of Szegö kernels under Hamiltonian SU(2)×S1-actions

Equivariant Asymptotics of Szegö kernels under Hamiltonian SU(2)-action

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

Equivariant asymptotics of Szegö kernels under Hamiltonian $S U (2) \times S^{1}$ -actions

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

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