Apr 6, 2017
measured foliations
Albert Fathi, François Laudenbach, Valentin Poénaru, et al.
Translation by Djun Kim and Dan Margalit
Fact: There are six ways to draw field lines that foliate a pair-of-pants (pairs of pants can be sewn together to create any surface.
#measured foliations#train tracks#Valentin Alexandre Poénaru#William Thurston#Albert Fathi#Dan Margalit#Djun Kim#mathematics#maths#surfaces#manifolds#inner product spaces#inner product#multiplication#spaces#François Laudenbach#foliations#math#geometry#geometry of surfaces#separatrix#field lines#geometric topology#mapping class groups#topology#FLP#Teichmüller space#Teichmüller theory#automorphisms#diffeomorphisms