Work

The complex hyperbolic form as a Weil–Petersson form

Year: 2024

Type: article

Abstract: For the moduli space of the punctured spheres, we find a new equality between two symplectic forms defined on it. Namely, by treating the elements of this moduli space as the singular Euclidean metrics on a sphere, we give an interpretation of the complex hyperbolic form, i.e. the Kähler form of the complex hyperbolic structure on the moduli space, as a kind of Weil–Petersson form.

Source: Communications in Contemporary Mathematics

DOI: 10.1142/s0219199724500068

Author: Xiangsheng Wang

Institution: Shandong University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: Shandong University

OpenAlex ID: W4392584650

FWCI: 0.673

Cites: 16

Cited by: 1

Related to: 10