Dan Wang

activity

20202023

most citedLimit of geometric quantizations on Kähler manifolds with T-symmetry

2 citations · 2 across the 5 of their papers we have counts for

collaborators

5 papers

math.SG2023★ 2 cited

Limit of geometric quantizations on Kähler manifolds with T-symmetry

Naichung Conan Leung, Dan Wang

A compact Kähler manifold $(M, ω, J)$ with $T$ -symmetry admits a natural mixed polarization $P_{mix}$ whose real directions come from the $T$ -action.…

math.SG2023

Geometric quantizations of mixed polarizations on Kähler manifolds with T-symmetry

Naichung Conan Leung, Dan Wang

Let $M$ be a compact Kähler manifold equipped with a pre-quantum line bundle $L$ . In [9], using $T$ -symmetry, we constructed a polarization $P_{mix}$ on $M$ , whi…

math.SG2022

Geodesic rays in the space of Kähler metrics with $T$ -symmetry

Naichung Conan Leung, Dan Wang

Let $(M, ω, J)$ be a Kähler manifold, equipped with an effective Hamiltonian torus action $ρ : T \to Diff (M, ω, J)$ by isometries with moment map $μ: M \rightarrow…

math.SG2022

Degeneration of Kahler polarizations to mixed polarizations on toric varieties

Dan Wang

Let $(X, ω, J)$ be a toric variety of dimension $2 n$ determined by a Delzant polytope. In this paper, we first construct the polarizations $\shP_{k}$ by the Hamiltonian $T^{k}$ -act…

math.RA2020

Four-angle Hopf modules for Hom-Hopf algebras

Xiaoqian Liu, Dongdong Yan, Xuchen Deng +1

In this paper, we introduce the notion of a four-angle Hopf module for a Hom-Hopf algebra $(H, β)$ and show that the category $_{H}^{H} M_{H}^{H}$ of four-angle Hopf mod…

Limit of geometric quantizations on Kähler manifolds with T-symmetry

Geometric quantizations of mixed polarizations on Kähler manifolds with T-symmetry

Geodesic rays in the space of Kähler metrics with T-symmetry

Degeneration of Kahler polarizations to mixed polarizations on toric varieties

Four-angle Hopf modules for Hom-Hopf algebras

Geodesic rays in the space of Kähler metrics with $T$ -symmetry