Mutation and volumes of knots in S 3

DOI10.1007/BF01389038zbMath0634.57005OpenAlexW2070143979WikidataQ30054758 ScholiaQ30054758MaRDI QIDQ1096925

Daniel Ruberman

Publication date: 1987

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143507

zbMATH Keywords

cut-and-pasteGromov simplicial volumehypebolic metric (of finite volume)mutation of knots

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10)

Related Items

Character varieties of mutative 3-manifolds, On Khovanov Homology and Related Invariants, ON THE KINOSHITA–TERASAKA KNOT AND GENERALISED CONWAY MUTATION, Mutation on knots and Whitney's 2-isomorphism theorem, On the doubled tetrus, Hyperbolic Invariants of Knots and Links, Framed instanton homology and concordance, On symmetries of peculiar modules, or \(\delta\)-graded link Floer homology is mutation invariant, Minimal surfaces in finite volume noncompact hyperbolic 3-manifolds, 2-strand twisting and knots with identical quantum knot homologies, An alternative approach to hyperbolic structures on link complements, Cutting and pasting and the \(\eta\)-invariant, Napoleon in isolation, Noncompact Fuchsian and quasi-Fuchsian surfaces in hyperbolic 3-manifolds, Hyperbolic tangle surgeries and nested links, Twisted Alexander Polynomials of Hyperbolic Knots, Mutation and \(SL(2,\mathbb C)\)-Reidemeister torsion for hyperbolic knots, TABULATING AND DISTINGUISHING MUTANTS, Mutations of homology spheres and Casson's invariant, The colored Jones polynomials and the simplicial volume of a knot, Factorial growth rates for the number of hyperbolic 3-manifolds of a given volume, Amalgamation and the invariant trace field of a Kleinian group, THE EFFECT OF MUTATION ON LINK CONCORDANCE, 3-MANIFOLDS, AND THE MILNOR INVARIANTS, Hyperbolic structures on knot complements, A Survey of the Impact of Thurston’s Work on Knot Theory, Non-mutants with equal colored Jones polynomial, INVARIANTS OF GENUS 2 MUTANTS, Invariants of tangles, Genus-two mutant knots with the same dimension in knot Floer and Khovanov homologies, Concordance and mutation, Tangles and the Gromov Invariant

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite group actions on 3-manifolds
• A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
• Varieties of group representations and splittings of 3-manifolds
• Complete minimal hypersurfaces in hyperbolic n-manifolds
• Volume and bounded cohomology
• Lifting representations to covering groups
• Volumes of hyperbolic three-manifolds
• The characteristic toric splitting of irreducible compact 3-orbifolds
• Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
• Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
• The existence of minimal immersions of 2-spheres
• The classical Plateau problem and the topology of three-dimensional manifolds. The embedding of the solution given by Douglas-Morrey and an analytic proof of Dehn's lemma
• Homotopy equivalences of 3-manifolds with boundaries
• On irreducible 3-manifolds which are sufficiently large
• Regularity of minimizing surfaces of prescribed mean curvature
• The problem of Plateau on a Riemannian manifold
• Thrice-Punctured Spheres in Hyperbolic 3-Manifolds
• A new polynomial invariant of knots and links
• Elastic waves in rods and clad rods
• Subgroups of Surface Groups are Almost Geometric