Topology of maximally writhed real algebraic knots
Algebraic Geometry
2024-12-04 v2
Abstract
Oleg Viro introduced an invariant of rigid isotopy for real algebraic knots in which can be viewed as a first order Vassiliev invariant. In this paper we look at real algebraic knots of degree with the maximal possible value of this invariant. We show that for a given all such knots are topologically isotopic and explicitly identify their knot type.
Keywords
Cite
@article{arxiv.1708.03971,
title = {Topology of maximally writhed real algebraic knots},
author = {Grigory Mikhalkin and Stepan Orevkov},
journal= {arXiv preprint arXiv:1708.03971},
year = {2024}
}
Comments
6 pages, 2 figures. Only few small misprints are corrected in v2