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3d Dijkgraaf-Witten TQFT with defects

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BIDW02 - Diving Deeper into Defects: On the Intersection of Field Theory, Quantum Matter, and Mathematics

We give a gauge theoretical construction of 3d (untwisted) Dijkgraaf-Witten TQFT with defects à la Freed-Quinn.This gives a symmetric monoidal functor from a category of stratified surfaces and stratified 3d cobordisms into the category of finite-dimensional vector spaces. It does not require choices of triangulations, allows an easy computation of examples and can be applied to defects in Kitaev’s quantum double model.This is joint work with João Faria Martins, arXiv: 2410.18049 

This talk is part of the Isaac Newton Institute Seminar Series series.

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