Contractibility of the Kakimizu complex and symmetric Seifert surfaces

DOI10.1090/S0002-9947-2011-05465-6zbMath1239.57025arXiv1004.4168MaRDI QIDQ2880688

Piotr Przytycki, Jennifer Schultens

Publication date: 13 April 2012

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.4168

zbMATH Keywords

Seifert surfacesKakimizu complexcontractible

Mathematics Subject Classification ID

Related Items (12)

Unnamed Item ⋮ Kakimizu complexes of Seifert fibered spaces ⋮ Graphs with convex balls ⋮ Realisation and dismantlability ⋮ The coarse geometry of the Kakimizu complex ⋮ On links with locally infinite Kakimizu complexes ⋮ The Hilbert–Smith conjecture for three-manifolds ⋮ Knots and surfaces ⋮ Weakly Modular Graphs and Nonpositive Curvature ⋮ Dismantlability of weakly systolic complexes and applications ⋮ The Kakimizu complex of a connected sum of links ⋮ Minimal genus Seifert surfaces for alternating links

Cites Work

• Unnamed Item
• Unnamed Item
• On links with locally infinite Kakimizu complexes
• Least area Seifert surfaces and periodic knots
• On the distance between two Seifert surfaces of a knot
• Finding disjoint incompressible spanning surfaces for a link
• Minimal genus Seifert surfaces for special arborescent links
• On infinite bridged graphs and strongly dismantlable graphs
• Classification of the incompressible spanning surfaces for prime knots of 10 or less crossings
• The Kakimizu complex is simply connected
• Sums of Incompressible Surfaces
• Finding Disjoint Seifert Surfaces
• Dismantlability of weakly systolic complexes and applications

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