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SUMMARY:Skein Kerler-Lyubashenko functors for relative 4-handlebodies [MPI
 M]
DTSTART:20261102T093000Z
DTEND:20261102T110000Z
DTSTAMP:20261103T224900Z
UID:indico-event-1723@math-events.uni-bonn.de
DESCRIPTION:Speakers: Maksymilian Manko Manko (Universität Zürich)\n\nQu
 antum topology seminar\nThere has recently been interest in applying tools
  from non-semisimple TQFTs to problems in 4-manifold topology. Two constru
 ctions stand out: the Kerler–Lyubashenko (KL) functors of Beliakova–De
  Renzi\, defined for 4-dimensional 2-handlebodies(manifolds with boundary 
 built from handles of index at most 2) up to 2-deformations\, and the skei
 n (3+1)-TQFTs of Costantino–Geer–Haïoun–Patureau-Mirand. In this ta
 lk I will explain how the skein technology can be used to reconstruct a ve
 rsion of KLfunctors and extend them to handles of all indices\, given appr
 opriate algebraic input. As a corollary\, whenever both are defined\, the 
 invariants of 4-manifolds with boundary derived from the two constructions
  coincide. This is relevant for open problems in4-dimensional topology\, s
 uch as the Gompf’s conjecture for 4-dimensional 2-handlebodies.\n \n\nh
 ttps://math-events.uni-bonn.de/event/1723/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1723/
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