Markov theorem for doodles on two-sphere
Algebraic Topology
2018-07-18 v1 Geometric Topology
Abstract
In 1997 M.~Khovanov proved that any doodle can be presented as closure of twin, this result is analogue of classical Alexander's theorem for braids and links. We give a description of twins that have equivalent closures, this theorem is analogue of classical Markov theorem.
Cite
@article{arxiv.1807.05337,
title = {Markov theorem for doodles on two-sphere},
author = {Konstantin Gotin},
journal= {arXiv preprint arXiv:1807.05337},
year = {2018}
}