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SUMMARY:Yukihiro Okamoto (Tokyo Metropolitan University)
DTSTART:20251203T123000Z
DTEND:20251203T133000Z
DTSTAMP:20260416T051838Z
UID:PHK-cohomology-seminar/143
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PHK-cohomolo
 gy-seminar/143/">Legendrian non-isotopic unit conormal bundles in high dim
 ensions</a>\nby Yukihiro Okamoto (Tokyo Metropolitan University) as part o
 f Prague-Hradec Kralove seminar Cohomology in algebra\, geometry\, physics
  and statistics\n\n\nAbstract\nFor any compact submanifold of $\\mathbb{R}
 ^n$\, its unit conormal bundle is a compact Legendrian submanifold of the 
 unit cotangent bundle of $\\mathbb{R}^n$. In this talk\, I will give examp
 les of pairs of compact connected submanifolds of $\\mathbb{R}^n$ of codim
 ension greater than 3 such that their unit conormal bundles are not Legend
 rian isotopic\, although these two Legendrian submanifolds cannot be disti
 nguished by classical invariants. The main tools to distinguish them are t
 he strip Legendrian contact homology and a coproduct on it. I will explain
  that\, in a special case including the main examples\, the coproduct can 
 be computed by using the idea of string topology.\n
LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/143/
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