CATEGORICAL GROUPS, KNOTS AND KNOTTED SURFACES

DOI10.1142/S0218216507005713zbMath1158.57010arXivmath/0502562MaRDI QIDQ5386928

João Faria Martins

Publication date: 14 May 2008

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502562

zbMATH Keywords

coloringcrossed moduleknot invariantReidemeister movehandle decompositionknotted sphereMorse movedotted diagram

Mathematics Subject Classification ID

Categorical structures (18D99)

Related Items (3)

From gauge to higher gauge models of topological phases ⋮ Cohomology with local coefficients and knotted manifolds ⋮ The fundamental crossed module of the complement of a knotted surface

Cites Work

• Unnamed Item
• On the homotopy type and the fundamental crossed complex of the skeletal filtration of a CW-complex
• Coherence theorems via knot theory
• Spherical categories
• A combinatorial description of knotted surfaces and their isotopies
• Khovanov's homology for tangles and cobordisms
• Topological Quantum Field Theories from Homotopy n -Types
• INTERPRETATIONS OF YETTER’S NOTION OF G-COLORING: SIMPLICIAL FIBRE BUNDLES AND NON-ABELIAN COHOMOLOGY
• Invariants of piecewise-linear 3-manifolds
• TQFT’S FROM HOMOTOPY 2-TYPES

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