Exceptional or half-integral chirally cosmetic surgeries

DOI10.1007/s40590-024-00699-0MaRDI QIDQ6665552

Kazuhiro Ichihara, Toshio Saito

Publication date: 17 January 2025

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

zbMATH Keywords

figure-eight knotDehn surgeryexceptional surgerytrefoilcosmetic surgery

Mathematics Subject Classification ID

General topology of 3-manifolds (57K30) Other geometric structures on 3-manifolds (57K35)

Cites Work

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• Exceptional cosmetic surgeries on \(S^{3}\)
• Exceptional surgeries on alternating knots
• Small Seifert fibered surgery on hyperbolic pretzel knots
• The classification of toroidal Dehn surgeries on Montesinos knots
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• Finite Dehn surgeries on knots in \(S^3\)
• Dehn surgery on arborescent knots
• The maximal number of exceptional Dehn surgeries
• Chirally cosmetic surgeries and Casson invariants
• On LMO invariant constraints for cosmetic surgery and other surgery problems for knots in \(S^3\)
• Purely cosmetic surgeries and pretzel knots
• Toroidal Seifert fibered surgeries on alternating knots
• Knot Floer homology detects fibred knots
• Neuwirtsche Knoten und Flächenabbildungen
• Effective bilipschitz bounds on drilling and filling
• On constraints for knots to admit chirally cosmetic surgeries and their calculations
• Only integral Dehn surgeries can yield reducible manifolds
• Toroidal Dehn fillings on hyperbolic 3-manifolds
• CLOSED 3–MANIFOLDS UNCHANGED BY DEHN SURGERY
• Dehn surgery on knots
• Recognition of Seifert fibered spaces with boundary is in NP

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