Carqueville N, Meusburger C, Schaumann G (2020)
Publication Language: English
Publication Type: Journal article
Publication year: 2020
Book Volume: 364
Article Number: 107024
URI: https://arxiv.org/abs/1603.01171
DOI: 10.1016/j.aim.2020.107024
We initiate a systematic study of 3-dimensional ‘defect’ topological quantum field theories, that we introduce as symmetric monoidal functors on stratified and decorated bordisms. For every such functor we construct a tricategory with duals, which is the natural categorification of a pivotal bicategory. This captures the algebraic essence of defect TQFTs, and it gives precise meaning to the fusion of line and surface defects as well as their duality operations. As examples, we discuss how Reshetikhin-Turaev and Turaev-Viro theories embed into our framework, and how they can be extended to defect TQFTs.
APA:
Carqueville, N., Meusburger, C., & Schaumann, G. (2020). 3-dimensional defect TQFTs and their tricategories. Advances in Mathematics, 364. https://doi.org/10.1016/j.aim.2020.107024
MLA:
Carqueville, Nils, Cathérine Meusburger, and Gregor Schaumann. "3-dimensional defect TQFTs and their tricategories." Advances in Mathematics 364 (2020).
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