On the lexicographic degree of two-bridge knots
  We study the degree of polynomial representations of knots. We obtain the lexicographic degree for two-bridge torus knots and generalized twist knots. The proof uses the braid theoretical method developed by Orevkov to study real plane curves, combined with previous results from [KP10] and [BKP14]. We also give a sharp lower bound for the lexicographic degree of any knot, using real polynomial curves properties. 
Erwan Brugall\'e (CMLS-EcolePolytechnique), Pierre-Vincent Koseleff   (UPMC, IMJ, INRIA Paris-Rocquencourt), Daniel Pecker (...
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