Annulus twist and diffeomorphic 4-manifolds

DOI10.1017/S0305004113000194zbMath1290.57004arXiv1209.0361OpenAlexW2962676379MaRDI QIDQ2845620

Yuka Omae, In Dae Jong, Tetsuya Abe, Masanori Takeuchi

Publication date: 2 September 2013

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

Full work available at URL: https://arxiv.org/abs/1209.0361

zbMATH Keywords

slice knothomotopy 4-sphere4-ball genus\(n\)-shake genusunknotting number one knot

Mathematics Subject Classification ID

Related Items (9)

Notes on constructions of knots with the same trace ⋮ From zero surgeries to candidates for exotic definite 4‐manifolds ⋮ A construction of slice knots via annulus modifications ⋮ Knot traces and concordance ⋮ 3-Manifolds with abelian embeddings in S4 ⋮ Shake slice and shake concordant links ⋮ Knots with infinitely many non-characterizing slopes ⋮ Shake slice and shake concordant knots ⋮ Shake genus and slice genus

Cites Work

• Knots yielding homeomorphic lens spaces by Dehn surgery
• Volumes of hyperbolic three-manifolds
• Foliations and the topology of 3-manifolds. III
• Homology handles with multiple knot-surgery descriptions
• Some well-disguised ribbon knots
• Mutative hyperbolic homology 3-spheres with the same Floer homology
• Manifolds obtained by surgery on an infinite number of knots in \(S^{3}\)
• Sur les difféomorphismes de la sphère de dimension trois \(\Gamma_ 4 = 0\)
• Manifolds with multiple knot-surgery descriptions
• On 2-dimensional homology classes of 4-manifolds
• More 3-manifolds with multiple knot-surgery and branched-cover descriptions
• KNOTS AND EXOTIC SMOOTH STRUCTURES ON 4-MANIFOLDS

This page was built for publication: Annulus twist and diffeomorphic 4-manifolds