383 citations · 4.2k across the 131 of their papers we have counts for
145 papers
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…
Grothendieck-Verdier module categories, Frobenius algebras and relative Serre functors
Jürgen Fuchs, Gregor Schaumann, Christoph Schweigert +1
We develop the theory of module categories over a Grothendieck-Verdier category, i.e. a monoidal category with a dualizing object and hence a duality structure more general than ri…
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…
All product eigenstates in Heisenberg models from a graphical construction
Felix Gerken, Ingo Runkel, Christoph Schweigert +1
Recently, large degeneracy based on product eigenstates has been found in spin ladders, kagome-like lattices, and motif magnetism, connected to spin liquids, anyonic phases, and qu…
Grothendieck-Verdier duality in categories of bimodules and weak module functors
Jürgen Fuchs, Gregor Schaumann, Christoph Schweigert +1
Various monoidal categories, including suitable representation categories of vertex operator algebras, admit natural Grothendieck-Verdier duality structures. We recall that such a…