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arXiv · 1812.01563

On osculating framing of real algebraic links

Grigory Mikhalkin·Stepan Orevkov
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Abstract

For a real algebraic link in $RP^3$, we prove that its encomplexed writhe (an invariant introduced by Viro) is maximal for a given degree and genus if and only if its self-linking number with respect to the framing by the osculating planes is maximal for a given degree.

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Grigory Mikhalkin, Stepan Orevkov. 2018-12-04. On osculating framing of real algebraic links. https://doi.org/10.1007/s40598-019-00120-z

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