Rigidity and symmetry of cylindrical handlebody-knots

zbMath1514.57017arXiv2109.10609MaRDI QIDQ6046550

Yi-Sheng Wang

Publication date: 11 May 2023

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

Full work available at URL: https://arxiv.org/abs/2109.10609

zbMATH Keywords

symmetry grouphandlebody knothandlebody embedded in the 3-sphere

Mathematics Subject Classification ID

Relations of low-dimensional topology with graph theory (57M15) Knot theory (57K10) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12) General topology of 3-manifolds (57K30)

Cites Work

• Unnamed Item
• Unnamed Item
• Inequivalent handlebody-knots with homeomorphic complements
• A \(G\)-family of quandles and handlebody-knots
• The quandle coloring invariant of a reducible handlebody-knot
• Inequivalent genus 2 handlebodies in \(S^ 3\) with homeomorphic complement
• An invariant derived from the Alexander polynomial for handlebody-knots
• On unknotting tunnels for knots
• Primitives in the free group on two generators
• What does a basis of F(a,b) look like?
• Involutions of sufficiently large 3-manifolds
• Homeomorphisms of sufficiently large \(P^2\)-irreducible 3-manifolds
• Incompressible surfaces in the knot manifolds of torus knots
• Topological chirality of certain molecules
• Die Abbildungen der Brezelfläche und der Vollbrezel vom Geschlecht 2
• Topology and combinatorics of 3-manifolds
• Topological symmetry groups and mapping class groups for spatial graphs
• Unknotting annuli and handlebody-knot symmetry
• Numerical irreducibility criteria for handlebody links
• Knotted handle decomposing spheres for handlebody-knots
• Homotopy groups of the space of homeomorphisms on a 2-manifold
• Quandle Cocycle Invariants for Spatial Graphs and Knotted Handlebodies
• A TABLE OF GENUS TWO HANDLEBODY-KNOTS UP TO SIX CROSSINGS
• Scindements de Heegaard des espaces lenticulaires
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• An Equivariant Torus Theorem for Involutions
• Non-simple links with tunnel number one
• EXTENDING AUTOMORPHISMS OF THE GENUS-2 SURFACE OVER THE 3-SPHERE
• Automorphisms of the 3-sphere that preserve spatial graphs and handlebody-knots
• Essential surfaces of non-negative Euler characteristic in genus two handlebody exteriors
• On simple systems of paths on complete pretzels
• Thin position of a pair (3-manifold, 1-submanifold).

This page was built for publication: Rigidity and symmetry of cylindrical handlebody-knots