Work

Symplectically self-polar polytopes of minimal capacity

Year: 2025

Type: article

Abstract: In this paper we continue the study of symplectically self-polar convex bodies started in [3]. We construct symplectically self-polar convex bodies of the minimal Ekeland–Hofer–Zehnder capacity. This in turn proves that the lower bound for the Ekeland–Hofer–Zehnder capacity for centrally symmetric convex bodies obtained in [1] cannot be improved. We also make some numerical experiments and speculations regarding the minimal volume of symplectically self-polar convex bodies.

Source: Annales mathématiques du Québec

DOI: 10.1007/s40316-025-00251-0

Author: Mark Berezovik

Institution: Tel Aviv University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Israel Science Foundation, Tel Aviv University, HORIZON EUROPE Framework Programme, HORIZON EUROPE European Research Council