CLOSED ESSENTIAL SURFACES AND WEAKLY REDUCIBLE HEEGAARD SPLITTINGS IN MANIFOLDS WITH BOUNDARY

DOI10.1142/S0218216504003470zbMath1065.57023OpenAlexW2088148101MaRDI QIDQ4659828

Yoav Moriah, Eric Sedgwick

Publication date: 21 March 2005

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218216504003470

zbMATH Keywords

3-manifoldboundary componentsessential surface

Mathematics Subject Classification ID

Related Items (4)

Handle number one links and Generalized Property $R$ ⋮ Stabilizing and destabilizing Heegaard splittings of sufficiently complicated 3-manifolds ⋮ Computing Heegaard Genus is NP-Hard ⋮ Heegaard splittings of twisted torus knots

Cites Work

• Reducing Heegaard splittings
• Closed incompressible surfaces in complements of wide knots and links
• Heegaard splittings of exteriors of two bridge knots
• On boundary primitive manifolds and a theorem of Casson--Gordon
• The classification of nonsimple algebraic tangles
• TANGLE DECOMPOSITIONS OF TUNNEL NUMBER ONE KNOTS AND LINKS
• Genus two \(3\)-manifolds are built from handle number one pieces

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