A rational noncommutative invariant of boundary links

DOI10.2140/gt.2004.8.115zbMath1075.57004arXivmath/0105028OpenAlexW3105273415MaRDI QIDQ1882815

Andrew Kricker, Stavros Garoufalidis

Publication date: 1 October 2004

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

Full work available at URL: https://arxiv.org/abs/math/0105028

zbMATH Keywords

surgeryKontsevich integralboundary linkCohn localization\(F\)-link

Mathematics Subject Classification ID

Related Items (34)

On Kontsevich integral of torus knots ⋮ Surgery presentations of coloured knots and of their covering links ⋮ A non-commutative formula for the colored Jones function ⋮ Equivariant triple intersections ⋮ ON ALEXANDER MODULES AND BLANCHFIELD FORMS OF NULL-HOMOLOGOUS KNOTS IN RATIONAL HOMOLOGY SPHERES ⋮ A non-commutative Reidemeister-Turaev torsion of homology cylinders ⋮ The 3-loop polynomial of knots obtained by plumbing the doubles of two knots ⋮ Resurgence in complex Chern-Simons theory at generic levels ⋮ Noninjectivity of the ``hair map ⋮ Differential operators and the wheels power series ⋮ A surgery view of boundary links ⋮ DIFFERENCE AND DIFFERENTIAL EQUATIONS FOR THE COLORED JONES FUNCTION ⋮ Braids on surfaces and finite type invariants. ⋮ Toward universality in degree 2 of the Kricker lift of the Kontsevich integral and the Lescop equivariant invariant ⋮ Asymptotics of the colored Jones function of a knot ⋮ On the 2-loop polynomial of knots ⋮ FINITE-TYPE KNOT INVARIANTS BASED ON THE BAND-PASS AND DOUBLED-DELTA MOVES ⋮ Splitting formulas for the rational lift of the Kontsevich integral ⋮ The Kontsevich integral for bottom tangles in handlebodies ⋮ Noncommutative Chern-Weil theory and the combinatorics of wheeling ⋮ Whitehead doubling persists ⋮ A computation of the Kontsevich integral of torus knots ⋮ A cabling formula for the 2-loop polynomial of knots ⋮ Surgery untying of coloured knots ⋮ Concordance and 1-loop clovers ⋮ Perturbative invariants of 3-manifolds with the first Betti number 1 ⋮ Topological formula of the loop expansion of the colored Jones polynomials ⋮ INVARIANTS OF KNOTS DERIVED FROM EQUIVARIANT LINKING MATRICES OF THEIR SURGERY PRESENTATIONS ⋮ Finite type invariants of knots in homology 3-spheres with respect to null LP-surgeries ⋮ Asymptotic Vassiliev Invariants for Vector Fields ⋮ Invariants of links and 3-manifolds that count graph configurations ⋮ Rational Blanchfield forms, S-equivalence, and null LP-surgeries ⋮ Cosmetic crossing conjecture for genus one knots with non-trivial Alexander polynomial ⋮ A rationality conjecture about Kontsevich integral of knots and its implications to the structure of the colored Jones polynomial

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