On the 2-loop polynomial of knots

DOI10.2140/gt.2007.11.1357zbMath1154.57012OpenAlexW2112299307MaRDI QIDQ2464824

Tomotada Ohtsuki

Publication date: 17 December 2007

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/gt.2007.11.1357

zbMATH Keywords

Casson invariantSeifert surfaceKontsevich integralfinite type invariantsgenus of a knotGauss diagramAarhus integralinfinite cyclic covers

Mathematics Subject Classification ID

Related Items (7)

A polynomial time knot polynomial ⋮ The 3-loop polynomial of knots obtained by plumbing the doubles of two knots ⋮ On constraints for knots to admit chirally cosmetic surgeries and their calculations ⋮ The Casson–Walker invariant of 3-manifolds with genus one open book decompositions ⋮ Perturbative invariants of 3-manifolds with the first Betti number 1 ⋮ INVARIANTS OF KNOTS DERIVED FROM EQUIVARIANT LINKING MATRICES OF THEIR SURGERY PRESENTATIONS ⋮ Cosmetic crossing conjecture for genus one knots with non-trivial Alexander polynomial

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some new invariants of links
• Topological quantum field theory for the universal quantum invariant
• On a universal perturbative invariant of 3-manifolds
• Two applications of elementary knot theory to Lie algebras and Vassiliev invariants
• The Århus integral of rational homology 3-spheres III: Relation with the Le-Murakami-Ohtsuki invariant
• A cabling formula for the 2-loop polynomial of knots
• The Århus integral of rational homology 3-spheres. I: A highly non trivial flat connection on \(S ^3\)
• The Århus integral of rational homology 3-spheres. II: Invariance and universality
• A rationality conjecture about Kontsevich integral of knots and its implications to the structure of the colored Jones polynomial
• Knot Floer homology, genus bounds, and mutation
• A rational noncommutative invariant of boundary links
• Holomorphic disks and genus bounds
• A rational surgery formula for the LMO invariant
• Finite type invariants of cyclic branched covers
• On the Melvin-Morton-Rozansky conjecture
• On \(p\)-adic convergence of perturbative invariants of some rational homology spheres
• Claspers and finite type invariants of links
• The generalized Casson invariant for 2-fold branched covers of \(S^ 3\) and the Jones polynomial
• A polynomial invariant for knots via von Neumann algebras
• QuantumSU(2)-invariants dominate Casson'sSU(2)-invariant
• BRANCHED CYCLIC COVERS AND FINITE TYPE INVARIANTS
• Gropes and the rational lift of the Kontsevich integral
• QuantumSO(3)-invariants dominate theSU(2)-invariant of Casson and Walker

This page was built for publication: On the 2-loop polynomial of knots