Topology of maximally writhed real algebraic knots
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.
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