The non-orientable 4-genus of 11 crossing non-alternating knots

DOI10.1142/s0218216524500500MaRDI QIDQ6663931

Megan Fairchild

Publication date: 15 January 2025

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

zbMATH Keywords

topologyslice knotsprime knotsArf invariantknot theorylinking formcrosscap numberdouble branched covercheckerboard coloringnon-orientable 4-genusnon-alternating knotsnon-oriented band moveknot signature Goeritz matrix

Mathematics Subject Classification ID

Knot theory (57K10)

Cites Work

• On the signature of a link
• The nonorientable 4-genus for knots with 8 or 9 crossings
• Crosscap number of a knot
• The nonorientable 4-genus of knots
• Four-genus and four-dimensional clasp number of a knot
• Unoriented Knot Floer Homology and the Unoriented Four-Ball Genus
• The non-orientable 4-genus for knots with 10 crossings
• THE CONCORDANCE GENUS OF 11-CROSSING KNOTS
• A note on band surgery and the signature of a knot
• On a refinement of the non-orientable 4-genus of Torus knots
• Nonorientable surfaces bounded by knots: a geography problem
• On the nonorientable 4-genus of double twist knots

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