4.1 Article

Topology of Maximally Writhed Real Algebraic Knots

Journal

DOKLADY MATHEMATICS
Volume 97, Issue 1, Pages 28-31

Publisher

MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S106456241801009X

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Funding

  1. SNSF [159240, 159581]
  2. NCCR SwissMAP project
  3. RSF grant [14-21-00053]
  4. Russian Science Foundation [14-21-00053] Funding Source: Russian Science Foundation

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Oleg Viro introduced an invariant of rigid isotopy for real algebraic knots in aea(TM)(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.

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