Work

Complex hyperbolic Kleinian groups of large critical exponents

Year: 2024

Type: article

Abstract: In this article, we show that there exist discrete isometry groups of the 2‑ and 3‑dimensional complex hyperbolic spaces with critical exponents arbitrarily close to but strictly smaller than the maximum possible value. This result shows no gap in the values of critical exponents for complex hyperbolic Kleinian groups.

Source: Journal of Differential Geometry

DOI: 10.4310/jdg/1729092453

Authors: Subhadip Dey, Beibei Liu

Institutions: Yale University, The Ohio State University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: Link Floer Homology and Kleinian Groups