Legendrian links and d\'ej\`a vu moments
Symplectic Geometry
2023-09-26 v2 Differential Geometry
Geometric Topology
Abstract
A Legendrian link is called a d\'ej\`a vu link if its components can be connected by a positive Legendrian isotopy but this isotopy cannot be embedded. This is the contact geometric analogue of a pair of events in a spacetime such that there are d\'ej\`a vu moments on every future-directed timelike path between them. We construct d\'ej\`a vu links in several geometrically relevant situations and discuss their basic properties.
Keywords
Cite
@article{arxiv.2303.12433,
title = {Legendrian links and d\'ej\`a vu moments},
author = {Stefan Nemirovski},
journal= {arXiv preprint arXiv:2303.12433},
year = {2023}
}
Comments
V.2 - small edits incorporating referee comments, references added; 20 pages, 4 figures