The three cusps conjecture

2016/03/25 by Stéphane Guillermou, Guillermou, Stéphane · 1 citation
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG) #math.GT #math.SG

paper · pdf · doi:10.48550/arxiv.1603.07876

openalex publication_date 2016/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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