Work

Torus bundle Liouville domains are stably Weinstein

Year: 2025

Type: article

Abstract: We develop explicit local operations that may be applied to Liouville domains, with the goal of simplifying the dynamics of the Liouville vector field. These local operations, which are Liouville homotopies, are inspired by the techniques used by Honda and Huang [arXiv:1907.06025, 2019] to show that convex hypersurfaces are ‐generic in contact manifolds. As an application, we use our operations to show that certain Liouville‐but‐not‐Weinstein domains constructed by Huang [Proc. Amer. Math. Soc. 148 (2020), no. 12, 5323–5330] are stably Weinstein.

Source: Journal of Topology

DOI: 10.1112/topo.70052

Authors: Joseph Breen, Austin Christian

Institutions: University of Alabama, California Polytechnic 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

Awards: RTG: Research Training in Geometry and Topology, Higher-dimensional contact topology, RTG: Geometry and Topology at Iowa