THREE-DIMENSIONAL 2-FRAMED TQFTS AND SURGERY

DOI10.1142/S0218216504003536zbMath1109.57007arXivmath/9912065MaRDI QIDQ4652712

Stephen F. Sawin

Publication date: 28 February 2005

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

Full work available at URL: https://arxiv.org/abs/math/9912065

zbMATH Keywords

link invariantssurgeryChern-SimonsTQFTthree-manifoldframed three manifoldsJones-Witten

Mathematics Subject Classification ID

Topological field theories in quantum mechanics (81T45) Topological quantum field theories (aspects of differential topology) (57R56) Wild embeddings (57M30)

Related Items (2)

Jones-Witten invariants for nonsimply connected Lie groups and the geometry of the Weyl alcove ⋮ Invariants of spin three-manifolds from Chern-Simons theory and finite-dimensional Hopf algebras

Cites Work

• Topological quantum field theories
• On Kirby's calculus of links
• On framings of 3-manifolds
• Topological gauge theories and group cohomology
• Quantum field theory and the Jones polynomial
• The topology of 4-manifolds
• On the connectivity of cobordisms and half-projective TQFT's
• Ribbon graphs and their invariants derived from quantum groups
• Modular transformations for tensor categories
• Mapping class group actions on quantum doubles
• Invariants of 3-manifolds and projective representations of mapping class groups via quantum groups at roots of unity
• Noninvolutory Hopf algebras and \(3\)-manifold invariants
• Invariants of 3-manifolds via link polynomials and quantum groups
• Non-additivity of the signature
• A polynomial invariant for knots via von Neumann algebras
• Links, quantum groups and TQFTs
• INVARIANTS OF 3-MANIFOLDS DERIVED FROM FINITE DIMENSIONAL HOPF ALGEBRAS

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