Invariants for one-dimensional cohomology classes arising from TQFT

DOI10.1016/S0166-8641(96)00090-9zbMath0870.57015arXivq-alg/9501004OpenAlexW2086138533MaRDI QIDQ675230

Patrick M. Gilmer

Publication date: 8 July 1997

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9501004

zbMATH Keywords

knotbranched coverscobordismBrieskorn manifoldsquantum invariantstopological quantum field theoryTuraev-Viro model

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Differential topology (57R99)

Related Items

Strong shift equivalence theory and the shift equivalence problem ⋮ RECURSION FORMULAS FOR SOME ABELIAN KNOT INVARIANTS ⋮ On the Turaev-Viro endomorphism and the colored Jones polynomial ⋮ Integrality for TQFTs ⋮ INVARIANTS OF KNOTS DERIVED FROM EQUIVARIANT LINKING MATRICES OF THEIR SURGERY PRESENTATIONS

Cites Work

• Topological quantum field theories
• A loop theorem for duality spaces and fibred ribbon knots
• A combinatorial matrix in 3-manifold theory
• Invariants for 3-manifolds from the combinatorics of the Jones polynomial
• Algorithmic compression of surface automorphisms
• State models and the Jones polynomial
• The logarithm of the Dedekind \(\eta\)-function
• Quantum field theory and the Jones polynomial
• Remarks on the cobordism group of surface diffeomorphisms
• The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\)
• Computer calculation of Witten's 3-manifold invariant
• Chern-Simons-Witten invariants of lens spaces and torus bundles, and the semiclassical approximation
• Calculations with the Temperley-Lieb algebra
• Three-manifold invariants derived from the Kauffman bracket
• Periodicity of branched cyclic covers
• An intersection homology invariant for knots in a rational homology 3- sphere
• 3-valent graphs and the Kauffman bracket
• Dedekind sums, \(\mu\)-invariants and the signature cocycle
• Dedekind sums and signatures of intersection forms
• The Kauffman bracket skein module of \(S^ 1\times S^ 2\)
• Topological quantum field theories derived from the Kauffman bracket
• Topological quantum field theories for surfaces with spin structure
• Invariants of 3-manifolds via link polynomials and quantum groups
• Cobordism of automorphisms of surfaces
• Some link-polynomial relations
• COMBINATORIAL CALCULATION OF THE VARIOUS NORMALIZATIONS OF THE WITTEN INVARIANTS FOR 3-MANIFOLDS
• Characteristic Classes. (AM-76)
• THE SKEIN METHOD FOR THREE-MANIFOLD INVARIANTS
• Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)
• An Invariant of Regular Isotopy
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Invariants for one-dimensional cohomology classes arising from TQFT