The unit conormal construction takes us from the smooth world to the contact world, hence Legendrian invariants of conormals yield invariants of smooth submanifolds. In this talk we will show that, if the conormals of two braids are Legendrian isotopic, then the braids are equivalent. The main tool will be the wrapped sutured homology, an invariant of Legendrians with boundary, and its associated exact sequence. On the way we will sketch the definition of a 2-sutured manifold, and, if time permits, show a glimpse of (some sort of) TQFT.
Sutured Legendrian homology, the conormal of braids and a glimpse of TQFT
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Nom de l'orateur
Côme Dattin
Etablissement de l'orateur
Uppsala Universitet
Date et heure de l'exposé
Lieu de l'exposé
Salle Eole