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arXiv · 2303.12433

Legendrian links and d\'ej\`a vu moments

Stefan Nemirovski
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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.

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Stefan Nemirovski. 2023-03-22. Legendrian links and d\'ej\`a vu moments. https://doi.org/10.1016/j.geomphys.2023.104950

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