383 citations · 4.2k across the 131 of their papers we have counts for
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A manifestly Morita-invariant construction of Turaev-Viro invariants
Jürgen Fuchs, César Galindo, David Jaklitsch +1
We present a state sum construction that assigns a scalar to a skeleton in a closed oriented three-dimensional manifold. The input datum is the pivotal bicategory $\mathbf{Mod}^{\m…
Excision for Spaces of Admissible Skeins
Ingo Runkel, Christoph Schweigert, Ying Hong Tham
The skein module for a d-dimensional manifold is a vector space spanned by embedded framed graphs decorated by a category A with suitable extra structure depending on the dimension…
The Lyubashenko Modular Functor for Drinfeld Centers via Non-Semisimple String-Nets
Lukas Müller, Christoph Schweigert, Lukas Woike +1
The Levin-Wen string-nets of a spherical fusion category describe, by results of Kirillov and Bartlett, the representations of mapping class groups of closed surfaces…
Algebraic structures in two-dimensional conformal field theory
Jürgen Fuchs, Christoph Schweigert, Simon Wood +1
This is an invited contribution to the 2nd edition of the Encyclopedia of Mathematical Physics. We review the following algebraic structures which appear in two-dimensional conform…
A -equivariant String-Net Construction
Adrien DeLazzer Meunier, Christoph Schweigert, Matthias Traube
We develop a string-net construction for the (2,1)-dimensional part of a -equivariant three-dimensional topological field theory based on a -graded spherical fusion category.…
Twisted Drinfeld Centers and Framed String-Nets
Hannes Knötzele, Christoph Schweigert, Matthias Traube
We discuss a string-net construction on 2-framed surfaces, taking as algebraic input a finite, rigid tensor category, which is neither assumed to be pivotal nor semi-simple. It is…