The three cusps conjecture
Symplectic Geometry
2016-03-28 v1 Geometric Topology
Abstract
We prove Arnol'd's three cusps conjecture about the front of Legendrian curves in the projectivized cotangent bundle of the -sphere. We use the microlocal theory of sheaves of Kashiwara and Schapira and study the derived category of sheaves on the -sphere with a given smooth Lagrangian microsupport.
Keywords
Cite
@article{arxiv.1603.07876,
title = {The three cusps conjecture},
author = {Stéphane Guillermou},
journal= {arXiv preprint arXiv:1603.07876},
year = {2016}
}