ON ALGEBRAIC STRUCTURES IMPLICIT IN TOPOLOGICAL QUANTUM FIELD THEORIES

DOI10.1142/S0218216599000109zbMath0935.57025arXivhep-th/9412025MaRDI QIDQ4268009

Louis Crane, David N. Yetter

Publication date: 9 May 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9412025

zbMATH Keywords

Hopf algebramonoidal categoryTQFTcrossed bimodule

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81T99) General geometric structures on low-dimensional manifolds (57M50)

Related Items (16)

Unnamed Item ⋮ Bottom tangles and universal invariants ⋮ Open-closed strings: Two-dimensional extended TQFTs and Frobenius algebras ⋮ Categorification: tangle invariants and TQFTs ⋮ STATE SUM CONSTRUCTION OF TWO-DIMENSIONAL OPEN-CLOSED TOPOLOGICAL QUANTUM FIELD THEORIES ⋮ A functorial LMO invariant for Lagrangian cobordisms ⋮ Unnamed Item ⋮ Splitting formulas for the LMO invariant of rational homology three-spheres ⋮ Claspers and finite type invariants of links ⋮ A unified Witten-Reshetikhin-Turaev invariant for integral homology spheres ⋮ The Kontsevich integral for bottom tangles in handlebodies ⋮ Three-dimensional topological field theory and symplectic algebraic geometry. I ⋮ An extension of the LMO functor ⋮ TENSOR FUNCTORS ON A CERTAIN CATEGORY CONSTRUCTED FROM SPHERICAL CATEGORIES ⋮ Quantum Invariants of Templates ⋮ Structures and diagrammatics of four dimensional topological lattice field theories

Cites Work

• Topological gauge theories and group cohomology
• State sum invariants of 3-manifolds and quantum \(6j\)-symbols
• 2-d physics and 3-d topology
• Quantum groups and representations of monoidal categories

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