Dijkgraaf-Witten Type Invariants of Seifert Surfaces in 3-Manifolds

2015/07/03 by I. J. Lee, Lee, I. J., David N. Yetter +1
Mathematics · #57R56 #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1507.00949

openalex publication_date 2015/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce defects, with internal gauge symmetries, on a knot and Seifert surface to a knot into the combinatorial construction of finite gauge-group Dijkgraaf-Witten theory. The appropriate initial data for the construction are certain three object categories, with coefficients satisfying a partially degenerate cocycle condition.

Citations

• Directed homotopy theory, I. The fundamental category

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