Amit Sharma, Alexander A. Voronov
Published 2015-11-01Version 1
The goal of the paper is to categorify Dijkgraaf-Witten theory, aiming at providing foundation for a direct construction of Dijkgraaf-Witten theory as an Extended Topological Quantum Field Theory. The main tool is cohomology with coefficients in a Picard groupoid, namely the Picard groupoid of hermitian lines.
Categorification of the colored $\mathfrak{sl}_3$-invariant
Categorification of persistent homology
Persistence Diagrams as Diagrams: A Categorification of the Stability Theorem
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