A lower bound of the Hofer-Zehnder capacity via Delzant polytopes
Abstract
Given a symplectic toric manifold, the moment maps of sub-circle actions can be modified to be admissible functions in the sense of Hofer-Zehnder. By exploiting the relationship between the period of Hamiltonian sub-circle actions of a symplectic toric manifold and its Delzant polytope, we develop an invariant of Delzant polytopes which gives a lower bound for the Hofer-Zehnder capacity.
Fields of Study & Subjects
Quantum chaos and dynamical systems
Algebraic structures and combinatorial models
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Contemporary mathematics - American Mathematical Society
- Pages
- 105–117
- Publication date
- 20 August 2026
- Language
- EN