Special positions for essential tori in link complements

DOI10.1016/0040-9383(94)90027-2zbMath0833.57004OpenAlexW1970231737WikidataQ126297117 ScholiaQ126297117MaRDI QIDQ1332833

William W. Menasco, Joan S. Birman

Publication date: 5 September 1994

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(94)90027-2

zbMATH Keywords

doubled knotclosed 3- and 4-braidsbraid index of satellite linksessential tori in the complement of a linkfoliations of embedded essential toriJaco-Shalen- Johannson decompositionrepresentation of links as closed braids

Mathematics Subject Classification ID

Related Items (23)

Hyperbolic knots given by positive braids with at least two full twists ⋮ Petal number of torus knots using superbridge indices ⋮ Embedding knots and links in an open book. I: Basic properties ⋮ ARC INDEX OF NON-ALTERNATING LINKS ⋮ Rectangular Seifert circles and arcs system ⋮ Minimal arc-presentations of some nonalternating knots ⋮ Notes on tiled incompressible tori ⋮ Braid ordering and the geometry of closed braid ⋮ Embedding knots and links in an open book II. Bounds on arc index ⋮ AN UPPER BOUND ON STICK NUMBER OF KNOTS ⋮ ON THE SATELLITE CROSSING NUMBER CONJECTURE ⋮ Essential open book foliations and fractional Dehn twist coefficient ⋮ Complements of hyperbolic knots of braid index four contain no closed embedded totally geodesic surfaces ⋮ THE PROBLEM OF DETECTING THE SATELLITE STRUCTURE OF A LINK BY MONOTONIC SIMPLIFICATION ⋮ Coefficients and non-triviality of the Jones polynomial ⋮ A cube of resolutions for knot Floer homology ⋮ Links in an open book decomposition and in the standard contact structure ⋮ On the arc index of an adequate link ⋮ Overtwisted discs in planar open books ⋮ On iterated torus knots and transversal knots ⋮ UNKNOTTING RECTANGULAR DIAGRAMS OF THE TRIVIAL KNOT BY EXCHANGE MOVES ⋮ ON THE PRESENTATION OF A LINK AS A SUM OF TWO DESCENDING TANGLE DIAGRAMS ⋮ Realizing exterior Cromwell moves on rectangular diagrams by Reidemeister moves

This page was built for publication: Special positions for essential tori in link complements