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arxiv: 1603.07876 · v1 · pith:63SQRCCXnew · submitted 2016-03-25 · 🧮 math.SG · math.GT

The three cusps conjecture

St\'ephane Guillermou This is my paper
classification 🧮 math.SG math.GT
keywords conjecturecuspssheavesspherethreearnolbundlecategory
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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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