Legendrian links and déjà vu moments
arXiv:2303.12433 · doi:10.1016/j.geomphys.2023.104950
Abstract
A Legendrian link is called a déjà 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 déjà vu moments on every future-directed timelike path between them. We construct déjà vu links in several geometrically relevant situations and discuss their basic properties.
V.2 - small edits incorporating referee comments, references added; 20 pages, 4 figures