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arXiv · 1603.07876

The three cusps conjecture

Stéphane Guillermou
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Abstract

We prove Arnol'd's three cusps conjecture about the front of Legendrian curves in the projectivized cotangent bundle of the $2$-sphere. We use the microlocal theory of sheaves of Kashiwara and Schapira and study the derived category of sheaves on the $2$-sphere with a given smooth Lagrangian microsupport.

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Stéphane Guillermou. 2016-03-25. The three cusps conjecture. https://arxiv.org/abs/1603.07876

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