On osculating framing of real algebraic links

Tuesday, 4 December, 2018

Published in: 

arXiv:1812.01563

For a real algebraic link in RP3, 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.

Author(s): 

Grigory Mikhalkin
Stepan Orevkov