Topological isotopy and Cochran's derived invariants
Geometric Topology
2020-11-04 v1
Abstract
We construct a link in the -space that is not isotopic to any PL link (non-ambiently). In fact, there exist uncountably many -equivalence classes of links. The paper also includes some observations on Cochran's invariants .
Cite
@article{arxiv.2011.01409,
title = {Topological isotopy and Cochran's derived invariants},
author = {Sergey A. Melikhov},
journal= {arXiv preprint arXiv:2011.01409},
year = {2020}
}
Comments
18 pages, 11 figures. To appear in "Topology, Geometry, and Dynamics: Rokhlin Memorial" (St.-Petersburg, August 19-23, 2019), Contemporary Mathematics, 772 (V. M. Buchstaber, A. V. Malyutin, T. E. Panov, A. M. Vershik, eds.), Amer. Math. Soc., Providence, RI, 2021