Generalized Heegaard splittings and the disk complex

zbMath1475.57021arXiv1607.00532MaRDI QIDQ2176720

Jung Soo Kim

Publication date: 5 May 2020

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

Full work available at URL: https://arxiv.org/abs/1607.00532

zbMATH Keywords

equivalent clustersgeneralized Heegaard splittings

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) General topology of 3-manifolds (57K30)

Cites Work

• Unnamed Item
• On Heegaard splittings of knot exteriors with tunnel number degenerations
• Connected sums of unstabilized Heegaard splittings are unstabilized
• Closed incompressible surfaces in complements of wide knots and links
• Heegaard splittings of \((\text{surface})\times I\) are standard
• On unstabilized genus three critical Heegaard surfaces
• Heegaard splittings of distance exactly \(n\)
• A topologically minimal, weakly reducible, unstabilized Heegaard splitting of genus three is critical
• Virtually geometrically finite mapping class groups of 3-manifolds
• Lecture Notes on Generalized Heegaard Splittings
• ON CRITICAL HEEGAARD SPLITTINGS OF TUNNEL NUMBER TWO COMPOSITE KNOT EXTERIORS
• Theta Functions and Knots
• The geometry of the disk complex

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