The trivial connection contribution to Witten's invariant and finite type invariants of rational homology spheres

DOI10.1007/BF02509795zbMath0868.57015arXivq-alg/9503011OpenAlexW2084730117MaRDI QIDQ2364994

Lev Rozansky

Publication date: 18 August 1997

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9503011

zbMATH Keywords

colored Jones polynomialrational homology spheresboundary linksWitten's invariantalgebraically split links

Mathematics Subject Classification ID

Related Items (10)

On Vassiliev knot invariants induced from finite type 3-manifold invariants ⋮ Witten's invariants of rational homology spheres at prime values of \(K\) and trivial connection contribution ⋮ ON THE QUANTUM INVARIANT FOR THE BRIESKORN HOMOLOGY SPHERES ⋮ Flat connection contribution to topology changing amplitudes in an ensemble of Seifert fibered homology spheres ⋮ FEYNMAN LOOPS AND THREE-DIMENSIONAL QUANTUM GRAVITY ⋮ 3-MANIFOLD INVARIANTS FROM COSETS ⋮ Invariants of Three-Manifolds, Unitary Representations of the Mapping Class Group, and Numerical Calculations ⋮ On finite type 3-manifold invariants. II ⋮ Jones-Witten invariants for nonsimply connected Lie groups and the geometry of the Weyl alcove ⋮ A rationality conjecture about Kontsevich integral of knots and its implications to the structure of the colored Jones polynomial

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Concordance invariance of coefficients of Conway's link polynomial
• Quantum field theory and the Jones polynomial
• Computer calculation of Witten's 3-manifold invariant
• Chern-Simons-Witten invariants of lens spaces and torus bundles, and the semiclassical approximation
• Witten's invariants of rational homology spheres at prime values of \(K\) and trivial connection contribution
• A large \(k\) asymptotics of Witten's invariant of Seifert manifolds
• A polynomial invariant of rational homology \(3\)-spheres
• A contribution of the trivial connection to the Jones polynomial and Witten's invariant of 3d manifolds. I
• A contribution of the trivial connection of the Jones polynomial and Witten's invariant of 3d manifolds. II
• On the Melvin-Morton-Rozansky conjecture
• Invariants of 3-manifolds via link polynomials and quantum groups
• An Extension of Casson's Invariant. (AM-126)
• QuantumSU(2)-invariants dominate Casson'sSU(2)-invariant
• Reshetikhin’s formula for the Jones polynomial of a link: Feynman diagrams and Milnor’s linking numbers
• A polynomial invariant of integral homology 3-spheres
• PERTURBATIVE CHERN-SIMONS THEORY
• FINITE TYPE INVARIANTS OF INTEGRAL HOMOLOGY 3-SPHERES

This page was built for publication: The trivial connection contribution to Witten's invariant and finite type invariants of rational homology spheres