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C. Meusburger - Dijkgraaf-Witten TQFT with defects

Date
Date
Wednesday 18 December 2024, 9.00 - 10.00
Abstract
We use 3d defect TQFTs and state sum models with defects to give a gauge theoretical formulation of (untwisted) Dijkgraaf-Witten TQFT with defects. This leads to a simple description in terms of quivers, groupoids, their representations and intertwiners. Defect Dijkgraaf-Witten TQFTs is then formulated in terms of spans of groupoids and their representations.We discuss applications to Kitaev's quantum double model and, possibly, knot and link invariants. This is joint work with João Faría Martins, arXiv:2410.18049