Topology of Maximally Writhed Real Algebraic Knots
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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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- 4.O. Viro, “Encomplexing the writhe,” in Topology, Ergodic Theory, Real Algebraic Geometry: Rokhlin's Memorial, Ed. by V. Turaev and A. Vershik (Am. Math. Soc., Providence, RI, 2001), pp. 241–256.Google Scholar