15 citations · 82 across the 22 of their papers we have counts for
Showing 2016Show all
2 papers · 1 filter
math.DS2016
The trunkenness of a volume-preserving vector field
Pierre Dehornoy, Ana Rechtman
We construct a new invariant-the trunkenness-for volume-perserving vector fields on S^3 up to volume-preserving diffeomorphism. We prove that the trunkenness is independent from th…
math.GT2016★ 11 cited
Intersection norms on surfaces and Birkhoff cross sections
Pierre Dehornoy, Marcos Cossarini
For every finite collection of curves on a surface, we define an associated (semi-)norm on the first homology group of the surface. The unit ball of the dual norm is the convex hul…