Legendrian Lavrentiev links
Symplectic Geometry
2024-12-03 v2 Geometric Topology
Abstract
Lavrentiev curves form a special class of rectifiable curves which includes cusp-free piecewise smooth curves. We call a Lavrentiev curve Legendrian if the integral of the contact form equals zero on any its subarc. We define Legendrian isotopies of such curves and prove that the equivalence classes of Legendrian Lavrentiev links with respect to Legendrian isotopies coincide with smooth classes.
Keywords
Cite
@article{arxiv.2404.13473,
title = {Legendrian Lavrentiev links},
author = {Maxim Prasolov},
journal= {arXiv preprint arXiv:2404.13473},
year = {2024}
}