Work

On contact 3‐manifolds that admit a nonfree toric action

Year: 2025

Type: article

Abstract: We classify all contact structures on 3‐manifolds that admit a nonfree toric action, up to contactomorphism, and present them through explicit topological descriptions. Our classification is based on Lerman's classification of toric contact 3‐manifolds up to equivariant contactomorphism [Lerman, J. Symplectic Geom. 1 (2003), 785–828]. We also prove that every contact 3‐manifold with a nonfree toric action arises as the concave boundary of a toric linear plumbing over spheres inspired by Marinković et al. As a corollary of both results, we classify which contact 3‐manifolds arise as the concave boundary of a linear plumbing of spheres.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70259

Authors: Aleksandra Marinković, Laura Starkston

Institutions: University of Belgrade, University of California, Davis

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funders: National Science Foundation, Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja