Raising crosscap number while lowering unknotting number

DOI10.1142/S0218216520500303zbMath1443.57003MaRDI QIDQ3296887

A. Kerian

Publication date: 2 July 2020

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

zbMATH Keywords

unknotting numbercomparing invariantscrosscap number of a knotnon-orientable knot genus

Mathematics Subject Classification ID

Knot theory (57K10)

Related Items (1)

Crosscap number of knots and volume bounds

Uses Software

• Knot Atlas
• KnotInfo

Cites Work

• Unnamed Item
• Unnamed Item
• A classification of spanning surfaces for alternating links
• Rational Witt classes of Pretzel knots
• The Karoubi envelope and Lee's degeneration of Khovanov homology
• Crosscap numbers and the Jones polynomial
• Crosscap numbers of pretzel knots
• Crossing changes
• Unknotting number, genus and companion tori
• Crosscap number of a knot
• Crosscap number and knot projections
• Constructing crosscap number two surfaces from low-complexity handcuff graphs
• Crosscap numbers of a family of Montesinos knots
• A lower bound of crosscap numbers of alternating knots

This page was built for publication: Raising crosscap number while lowering unknotting number