Torsion function on character varieties

zbMath1475.57005arXiv1711.08781MaRDI QIDQ2046767

Léo Bénard

Publication date: 19 August 2021

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.08781

zbMATH Keywords

Reidemeister torsionessential surfacecharacter varietyCuller-Shalen theory

Mathematics Subject Classification ID

Knot theory (57K10) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Representations of knot groups into \(\mathrm{SL}_n(\mathbb{C})\) and twisted Alexander polynomials
• Twisted cohomology for hyperbolic three manifolds
• Varieties of group representations and splittings of 3-manifolds
• Bounded, separating, incompressible surfaces in knot manifolds
• Incompressible surfaces in 2-bridge knot complements
• A formal inverse to the Cayley-Hamilton theorem
• Examples of non-trivial roots of unity at ideal points of hyperbolic 3-manifolds
• Ideal points and incompressible surfaces in two-bridge knot complements
• Plane curves associated to character varieties of 3-manifolds
• Reidemeister torsion of the figure-eight knot exterior for \(\text{SL}(2,\mathbb{C})\)-representations
• Homotopieringe und Linsenräume
• Representation varieties detect essential surfaces
• Twisted Alexander polynomial and Reidemeister torsion
• All roots of unity are detected by the A-polynomial
• Reidemeister torsion form on character varieties
• On character varieties of two-bridge knot groups
• NON-ABELIAN REIDEMEISTER TORSION FOR TWIST KNOTS
• Topological Invariance of Whitehead Torsion
• Torsion de Reidemeister pour les variétés hyperboliques
• Synchronism of an incompressible non-free Seifert surface for a knot and an algebraically split closed incompressible surface in the knot complement
• A FORMULA FOR THE A-POLYNOMIAL OF TWIST KNOTS
• Twisted Alexander Polynomials of Hyperbolic Knots
• Non Abelian Twisted Reidemeister Torsion for Fibered Knots
• Whitehead torsion
• Dehn surgery on knots
• Additivity of free genus of knots

This page was built for publication: Torsion function on character varieties