A Lower Bound of the Hofer-Zehnder Capacity via Delzant Polytopes

Autor:	Liu, Yichen
Rok vydání:	2023
Předmět:	Mathematics - Symplectic Geometry 53D20 53D35
Druh dokumentu:	Working Paper
Popis:	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 of the Hofer-Zehnder capacity. Comment: 12 pages, 3 figures, comments are welcome! Version 2 has a minor mistake fixed and includes more references for relavant work
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.09526 Zobrazit plný text záznamu View this record from Arxiv