Work

Hofer distance on Lagrangian links inside the disc

Year: 2024

Type: article

Abstract: We show that the set of Hamiltonian isotopies of certain unions of circles inside the disc is unbounded for the Hofer distance. The proof relies on a result by Francesco Morabito (Link Floer Homology and a Hofer Pseudometric on Braids. https://arxiv.org/abs/2301.08105 , 2024) together with a standard argument of Michael Khanevsky (Geometric and topological aspects of Lagrangian submanifolds-intersections, diameter and Floer theory. PhD thesis. Tel-Aviv University, 2011).

Source: Journal of Fixed Point Theory and Applications

DOI: 10.1007/s11784-024-01151-6

Author: Ibrahim Trifa

Institution: ETH Zurich

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funder: Eidgenössische Technische Hochschule Zürich