Crosscap number three alternating knots

DOI10.1142/S0218216522500262zbMath1497.57005OpenAlexW4229008348WikidataQ114072874 ScholiaQ114072874MaRDI QIDQ5085866

Noboru Ito, Yusuke Takimura

Publication date: 30 June 2022

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

Full work available at URL: https://doi.org/10.1142/s0218216522500262

zbMATH Keywords

algebraic topologyprime knotsknot theoryBetti numberknot projectionsalternating knotsReidemeister movescrosscap numbersplices

Mathematics Subject Classification ID

Knot theory (57K10)

Related Items (1)

AUTOMATIC COMPUTATION OF CROSSCAP NUMBER OF ALTERNATING KNOTS

Uses Software

• KnotInfo

Cites Work

• A classification of spanning surfaces for alternating links
• Crosscap numbers of pretzel knots
• Incompressible surfaces in 2-bridge knot complements
• Crosscaps and knots
• Crosscap numbers of torus knots.
• Based chord diagrams of spherical curves
• Crosscap numbers of 2-bridge knots
• Crosscap number and knot projections
• Crosscap number of knots and volume bounds
• A lower bound of crosscap numbers of alternating knots
• Crosscap numbers of alternating knots via unknotting splices

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