A lower bound of crosscap numbers of alternating knots

DOI10.1142/S0218216519500925zbMath1436.57006OpenAlexW2995549798WikidataQ114072896 ScholiaQ114072896MaRDI QIDQ5220457

Yusuke Takimura, Noboru Ito

Publication date: 26 March 2020

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218216519500925

zbMATH Keywords

crosscap numberband surgeryspanning surfacesnon-orientable genusstate surface

Mathematics Subject Classification ID

Knot theory (57K10)

Related Items (5)

PLUMBING AND COMPUTATION OF CROSSCAP NUMBER ⋮ Crosscap number three alternating knots ⋮ Raising crosscap number while lowering unknotting number ⋮ Crosscap number of knots and volume bounds ⋮ Crosscap numbers of alternating knots via unknotting splices

Cites Work

• Unnamed Item
• Triple chords and strong (1, 2) homotopy
• A classification of spanning surfaces for alternating links
• Crosscap numbers and the Jones polynomial
• Crosscap numbers of pretzel knots
• Incompressible surfaces in 2-bridge knot complements
• Crosscaps and knots
• Crosscap numbers of torus knots.
• Crosscap number of a knot
• Crosscap numbers of 2-bridge knots
• Knot Enumeration Through Flypes and Twisted Splices
• Crosscap number and knot projections
• THE HALF-TWISTED SPLICE OPERATION ON REDUCED KNOT PROJECTIONS
• ESSENTIAL STATE SURFACES FOR KNOTS AND LINKS
• The tabulation of prime knot projections with their mirror images up to eight double points
• Crosscap numbers of alternating knots via unknotting splices

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