383 citations · 3.5k across the 90 of their papers we have counts for
98 papers
Crossed-module crossed braided categories
Azat M. Gainutdinov, Ingo Runkel, Bangxin Wang
For a crossed module , we introduce the notion of -crossed braided (resp. ribbon) categories, where the categories are graded by group and carry an -action. O…
Non-semisimple open-closed 3d TFT
Ingo Runkel, Yilong Wang
Given a spherical finite tensor category C, not necessarily semisimple, and a two-sided modified trace on its projective ideal, we define an open-closed three-dimensional topologic…
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…
Three-Dimensional Spin TFTs from Gauging Line Defects
Jannik Gröne, Ingo Runkel
From the input of an oriented three-dimensional TFT with framed line defects and a commutative -separable Frobenius algebra in the ribbon category of these line defects, we…
Modular functors from non-semisimple 3d TFTs
Aaron Hofer, Ingo Runkel
Given a not necessarily semisimple modular tensor category C, we use the corresponding 3d TFT defined in [arXiv:1912.02063] to explicitly describe a modular functor as a symmetric…
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…