Email this article Topology of Maximally Writhed Real Algebraic Knots
- Authors: Mikhalkin G.B.1, Orevkov S.Y.2,3,4
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Affiliations:
- Université de Genève, Section de Mathématiques
- Steklov Mathematical Institute
- IMT
- National Research University Higher School of Economics
- Issue: Vol 97, No 1 (2018)
- Pages: 28-31
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225449
- DOI: https://doi.org/10.1134/S106456241801009X
- ID: 225449
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Abstract
Oleg Viro introduced an invariant of rigid isotopy for real algebraic knots in ℝℙ3 which can be viewed as a first order Vassiliev invariant. In this paper we look at real algebraic knots of degree d with the maximal possible value of this invariant. We show that for a given d all such knots are topologically isotopic and explicitly identify their knot type.
About the authors
G. B. Mikhalkin
Université de Genève, Section de Mathématiques
Author for correspondence.
Email: grigory.mikhalkin@unige.ch
Switzerland, Carouge, 1227
S. Yu. Orevkov
Steklov Mathematical Institute; IMT; National Research University Higher School of Economics
Email: grigory.mikhalkin@unige.ch
Russian Federation, Moscow, 119991; Toulouse, 31062; Moscow, 119048
