Non-integer surgery and branched double covers of alternating knots

DOI10.1112/jlms/jdv030zbMath1335.57024arXiv1406.7198OpenAlexW1845776135MaRDI QIDQ3195119

Duncan McCoy

Publication date: 21 October 2015

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

Full work available at URL: https://arxiv.org/abs/1406.7198

zbMATH Keywords

Dehn surgeryintersection formalternating knotunknotting numberrational tanglebranched double coverMontesinos trick\(p/q\)-changemaker latticeGoeritz form

Mathematics Subject Classification ID

Related Items (6)

Alternating knots with unknotting number one ⋮ The mapping cone formula in Heegaard Floer homology and Dehn surgery on knots in \(S^3\) ⋮ Bounds on alternating surgery slopes ⋮ Surgeries, sharp 4-manifolds and the Alexander polynomial ⋮ The realization problem for noninteger Seifert fibered surgeries ⋮ The Montesinos trick for proper rational tangle replacement

Cites Work

• Unnamed Item
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• Alternating knots with unknotting number one
• Heegaard Floer correction terms and rational genus bounds
• Cosmetic surgeries on knots in \(S^3\)
• Knots with unknotting number one and Heegaard Floer homology
• On the Heegaard Floer homology of branched double-covers
• Knot Floer homology and rational surgeries
• The classification of alternating links
• Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
• The lens space realization problem
• L-space surgeries, genus bounds, and the cabling conjecture
• Donaldson's theorem, Heegaard Floer homology, and knots with unknotting number one
• Deficiency Symmetries of Surgeries in S3
• KNOTS WITH UNKNOTTING NUMBER ONE AND GENERALISED CASSON INVARIANT
• Note on Complete Sequences of Integers
• Dehn surgery on knots

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