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SUMMARY:Vincentas Mulevicius (University of Vienna)
DTSTART:20260128T170000Z
DTEND:20260128T180000Z
DTSTAMP:20260423T053140Z
UID:TQFT/158
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/158/">C
 ategorical 4-manifold invariants from trisection diagrams</a>\nby Vincenta
 s Mulevicius (University of Vienna) as part of Topological Quantum Field T
 heory Club (IST\, Lisbon)\n\n\nAbstract\nTrisections give a diagrammatic d
 escription of smooth 4-manifolds\, similar to Heegaard splittings in dimen
 sion three. In this talk\, I will describe new 4-manifold invariants defin
 ed from trisection diagrams using categorical data. The input consists of 
 three spherical fusion categories\, a semisimple bimodule category with a 
 bimodule trace\, and a pivotal functor into the category of bimodule endof
 unctors.\n\nThe construction works by labelling the trisection diagrams wi
 th the categorical data and evaluating them using a diagrammatic calculus 
 for bimodule categories. The details of this procedure ensures that the re
 sult is invariant under moves on trisections yielding the same 4-manifold.
  This construction generalises existing Hopf algebraic trisection invarian
 ts due to Chaidez--Cotler--Cui and recovers the Crane--Yetter and Bärenz
 --Barrett invariants as special cases. I will outline the main ideas of th
 e construction and briefly discuss examples and connections to TQFTs.\n\nB
 ased on the work 2511.19384 with Catherine Meusburger (FAU) and Fiona Torz
 ewska (Bristol).\n
LOCATION:https://researchseminars.org/talk/TQFT/158/
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