Bicategories for TQFTs with Defects with Structure
Quantum Algebra
2020-03-17 v1
Abstract
We provide a description of adequate categorical data to give a Turaev-Viro type state-sum construct of invariants of 3-manifolds with a system of defects, generalizing the Dijkgraaf-Witten type invariants of our earlier work. We term the defects in our construction defects-with-structure because algebraic data associated to them is in general richer than a module category over the spherical fusion category from which the theory is constructed when no defect is present.
Keywords
Cite
@article{arxiv.2003.06538,
title = {Bicategories for TQFTs with Defects with Structure},
author = {I. J. Lee and D. N. Yetter},
journal= {arXiv preprint arXiv:2003.06538},
year = {2020}
}