Topology of maximally writhed real algebraic knots

Abstract

Oleg Viro introduced an invariant of rigid isotopy for real algebraic knots in $R{P}^3$ 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.

6 pages, 2 figures. Only few small misprints are corrected in v2

Cited by in corpus (2)

• Maximally writhed real algebraic links
• On osculating framing of real algebraic links