Topology of Maximally Writhed Real Algebraic Knots


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详细

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.

作者简介

G. Mikhalkin

Université de Genève, Section de Mathématiques

编辑信件的主要联系方式.
Email: grigory.mikhalkin@unige.ch
瑞士, Carouge, 1227

S. Orevkov

Steklov Mathematical Institute; IMT; National Research University Higher School of Economics

Email: grigory.mikhalkin@unige.ch
俄罗斯联邦, Moscow, 119991; Toulouse, 31062; Moscow, 119048


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