Closed incompressible surfaces in complements of wide knots and links

DOI10.1016/S0166-8641(97)00232-0zbMath0924.57003WikidataQ126399783 ScholiaQ126399783MaRDI QIDQ1292747

Yoav Moriah, Martin Lustig

Publication date: 8 November 1999

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

Heegaard splittingweakly reducible

Mathematics Subject Classification ID

Related Items (16)

Connected sums of knots and weakly reducible Heegaard splittings ⋮ On the group action of \(Mod(M,F)\) on the disk complex ⋮ Generalized Heegaard splittings and the disk complex ⋮ Stabilizing and destabilizing Heegaard splittings of sufficiently complicated 3-manifolds ⋮ On unstabilized genus three critical Heegaard surfaces ⋮ Some sufficient conditions for tunnel numbers of connected sum of two knots not to go down ⋮ Small knots in some closed Haken 3-manifolds. ⋮ Critical bridge spheres for links with arbitrarily many bridges ⋮ Small 3-manifolds with large Heegaard distance ⋮ Prime knot complements with meridional essential surfaces of arbitrarily high genus ⋮ CLOSED ESSENTIAL SURFACES AND WEAKLY REDUCIBLE HEEGAARD SPLITTINGS IN MANIFOLDS WITH BOUNDARY ⋮ Genus two \(3\)-manifolds are built from handle number one pieces ⋮ SCHARLEMANN-THOMPSON UNTELESCOPING OF HEEGAARD SPLITTINGS IS FINER THAN CASSON-GORDON'S ⋮ Tunnel number one knots, 𝑚-small knots and the Morimoto conjecture ⋮ On boundary primitive manifolds and a theorem of Casson--Gordon ⋮ ON CRITICAL HEEGAARD SPLITTINGS OF TUNNEL NUMBER TWO COMPOSITE KNOT EXTERIORS

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• CLOSED INCOMPRESSIBLE SURFACES IN CLOSED BRAID COMPLEMENTS
• Incompressible Surfaces in Knot Spaces
• Knots

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