Incompressible surfaces in the exterior of a closed 3-braid

DOI10.1017/S0305004100063465zbMath0574.57003OpenAlexW2083066836MaRDI QIDQ3694284

Józef H. Przytycki

Publication date: 1985

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100063465

zbMATH Keywords

incompressible surfaceshyperbolic closed 3- braidnonperipheral surfaces

Mathematics Subject Classification ID

Related Items (20)

On closed incompressible meridionally incompressible surfaces in knot and link complements ⋮ Forty years in mathematics: Personal perspective (Part I) ⋮ Totally geodesic surfaces and homology ⋮ Generalised Fibonacci manifolds ⋮ Waist and trunk of knots ⋮ Notes on tiled incompressible tori ⋮ The existence of a meridional curve in closed incompressible surfaces in fully alternating link complements ⋮ Prime knot complements with meridional essential surfaces of arbitrarily high genus ⋮ TWISTED ALEXANDER POLYNOMIALS ON CURVES IN CHARACTER VARIETIES OF KNOT GROUPS ⋮ Totally geodesic Seifert surfaces in hyperbolic knot and link complements. I ⋮ Meridional surfaces and (1,1)-knots ⋮ Knots and surfaces ⋮ A NOTE ON CLOSED 3-BRAIDS ⋮ Complements of hyperbolic knots of braid index four contain no closed embedded totally geodesic surfaces ⋮ Closed incompressible surfaces in knot complements ⋮ Height, trunk and representativity of knots ⋮ Nonorientable, incompressible surfaces in punctured-torus bundles over \(S^1\) ⋮ Closed incompressible surfaces in complements of wide knots and links ⋮ Local rigidity of hyperbolic 3-manifolds after Dehn surgery ⋮ Virtually Regular Coverings

Cites Work

• Closed incompressible surfaces in alternating knot and link complements
• Incompressible surfaces in punctured-torus bundles
• Eine Klasse von 3-dimensionalen Mannigfaltigkeiten. I, II
• Incompressible Surfaces in the Boundary of a Handlebody–an Algorithm
• Prime Knots and Tangles
• On closed 3-braids
• A Unique Decomposition Theorem for 3-Manifolds with Connected Boundary
• The Decomposition of 3-Manifolds with Several Boundary Components

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