Maximally writhed real algebraic links

Grigory Mikhalkin; Stepan Orevkov

doi:10.1007/s00222-018-0844-7

Maximally writhed real algebraic links

Algebraic Geometry 2024-12-04 v1

Authors: Grigory Mikhalkin , Stepan Orevkov

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Abstract

Oleg Viro introduced an invariant of rigid isotopy for real algebraic knots and links in $\Bbb{RP}^3$ which can be viewed as a first order Vassiliev invariant. In this paper we classify real algebraic links of degree $d$ with the maximal value of this invariant in its two versions: $w$ and $w_\lambda$ .

Cite

@article{arxiv.1710.00013,
  title  = {Maximally writhed real algebraic links},
  author = {Grigory Mikhalkin and Stepan Orevkov},
  journal= {arXiv preprint arXiv:1710.00013},
  year   = {2024}
}