53 citations · 136 across the 20 of their papers we have counts for
3 papers · 1 filter
Non-existence of torically maximal hypersurfaces
Erwan Brugallé, Grigory Mikhalkin, Jean-Jacques Risler +1
Torically maximal curves (known also as simple Harnack curves) are real algebraic curves in the projective plane such that their logarithmic Gauß map is totally real. In this paper…
Brief introduction to tropical geometry
Erwan Brugallé, Ilia Itenberg, Grigory Mikhalkin +1
The paper consists of lecture notes for a mini-course given by the authors at the Gökova Geometry \& Topology conference in May 2014. We start the exposition with tropical curves i…
The lexicographic degree of the first two-bridge knots
Erwan Brugallé, Pierre-Vincent Koseleff, Daniel Pecker
We study the degree of polynomial representations of knots. We give the lexicographic degree of all two-bridge knots with 11 or fewer crossings. First, we estimate the total degree…