Year: 2024
Type: article
Abstract: We prove that for a closed Legendrian submanifold L of dimension n 2 with a loose chart of size Á, any Legendrian isotopy starting at L can be C 0 -approximated by a Legendrian isotopy with energy arbitrarily close to 1 2 Á.This in particular implies that the displacement energy of loose displaceable Legendrians is bounded by half the size of its smallest loose chart, which proves a conjecture of Dimitroglou Rizell and Sullivan (2020).
Source: Geometry & Topology
Author: Lukas Nakamura
Institution: Uppsala University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Award: G116144846
OpenAlex ID: W4405909789