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SUMMARY:Guillem Cazassus (Oxford)
DTSTART:20210427T140000Z
DTEND:20210427T151500Z
DTSTAMP:20260423T005839Z
UID:rlgts/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/rlgts/26/">T
 he earring correspondence of the pillowcase</a>\nby Guillem Cazassus (Oxfo
 rd) as part of Regensburg low-dimensional geometry and topology seminar\n\
 n\nAbstract\nSingular instanton homology is a knot invariant introduced by
  Kronheimer and Mrowka. It is deeply tied to Khovanov homology\, and among
  other things\, permits to show that the latter detects the unknot.\n\nIn 
 order to compute singular instanton homology\, Hedden\, Herald and Kirk de
 fined a symplectic (Atiyah-Floer) analogue\, called pillowcase homology. T
 his is a Lagrangian Floer homology in the traceless character variety of t
 he four-punctured sphere.\n\nWe study the Lagrangian correspondence induce
 d by the earring tangle\, an essential ingredient in Kronheimer-Mrowka's c
 onstruction. Our computation suggests that figure eight bubbling — a sub
 tle degeneration phenomenon predicted by Bottman and Wehrheim — appears 
 in the context of traceless character varieties. This is joint work with C
 hris Herald\, Paul Kirk and Artem Kotelskiy.\n
LOCATION:https://researchseminars.org/talk/rlgts/26/
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