Novikov homology and non-commutative Alexander polynomials

DOI10.1142/S0218216517400132zbMath1373.57010arXiv1606.03587OpenAlexW2963801563MaRDI QIDQ2969707

Stefan Friedl

Publication date: 23 March 2017

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

Full work available at URL: https://arxiv.org/abs/1606.03587

zbMATH Keywords

Thurston normNovikov homologynon-commutative Alexander polynomials

Mathematics Subject Classification ID

Related Items (4)

Twisted Alexander invariants of knot group representations. II: Computation and duality ⋮ A Survey of the Thurston Norm ⋮ Twisted Alexander invariants of knot group representations ⋮ Two-generator one-relator groups and marked polytopes

Cites Work

• 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
• Twisted Reidemeister torsion, the Thurston norm and fibered manifolds
• Twisted Alexander polynomials detect fibered 3-manifolds
• On the commutator subgroup of a knot group
• Group actions on fibered three-manifolds
• Some Novikov rings that are von Neumann finite and knot-like groups.
• The Thurston norm, fibered manifolds and twisted Alexander polynomials
• Deficiency and the geometric invariants of a group (with an appendix by Pascal Schweitzer).
• Reidemeister torsion, the Thurston norm and Harvey's invariants
• A geometric invariant of discrete groups
• A duality theorem for Reidemeister torsion
• Mayer-Vietoris sequences for HNN-groups and homological duality
• Noncommutative knot theory
• Finite domination and Novikov rings
• Thurston norm via Fox calculus
• Non-commutative multivariable Reidemester torsion and the Thurston norm
• Higher-order polynomial invariants of 3-manifolds giving lower bounds for the Thurston norm
• On Computing the First Higher-Order Alexander Modules of Knots
• Applications of a New K-Theoretic Theorem to Soluble Group Rings
• A Survey of Twisted Alexander Polynomials
• The Alexander polynomial of a 3-manifold and the Thurston norm on cohomology1
• Higher-order Alexander invariants of plane algebraic curves
• The parity of the Cochran--Harvey invariants of 3--manifolds
• Twisted Alexander norms give lower bounds on the Thurston norm
• Reidemeister torsion in knot theory
• Knot Modules. I
• Approximating L²‐invariants and the Atiyah conjecture
• Poincaré duality and degrees of twisted Alexander polynomials
• Higher-order Alexander invariants and filtrations of the knot concordance group
• Monotonicity of degrees of generalized Alexander polynomials of groups and 3-manifolds
• Whitehead torsion
• Knot Groups. Annals of Mathematics Studies. (AM-56)
• The Algebraic Determination of the Genus of Knots
• L2‐Euler characteristics and the Thurston norm

This page was built for publication: Novikov homology and non-commutative Alexander polynomials