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Generalized Dijkgraaf-Witten invariants in low-dimensional topology

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Speaker: 
Mark Penney
Affiliation: 
MPIM
Date: 
Thu, 02/05/2019 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
Colloquium
Parent event: 
MPI-Oberseminar

The aim of this talk is to introduce a family of invariants of 2-knots which generalize the Dijkgraaf-Witten (DW) knot invariants. I will begin with a casual review of the DW knot invariants, making connections to Fox n-colourings in the process. The naive generalization to 2-knots yields much weaker invariants and so I will discuss a homotopy-theoretic
generalization which has the potential to yield finer results.

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