Crosscap number of a knot

DOI10.2140/pjm.1995.171.261zbMath0857.57004OpenAlexW1544675568MaRDI QIDQ1918397

Akira Yasuhara, Hitoshi Murakami

Publication date: 7 November 1996

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1995.171.261

zbMATH Keywords

connected sumfirst Betti numberscrosscap numbers

Mathematics Subject Classification ID

Related Items (21)

CREATING KLEIN BOTTLES BY SURGERY ON KNOTS ⋮ Crosscap number and knot projections ⋮ Bottom tangles and universal invariants ⋮ Slice knots which bound punctured Klein bottles ⋮ A classification of spanning surfaces for alternating links ⋮ Crosscap numbers and the Jones polynomial ⋮ BOUNDS ON THE CROSSCAP NUMBER OF TORUS KNOTS ⋮ Constructing crosscap number two surfaces from low-complexity handcuff graphs ⋮ A characterization of almost alternating knots ⋮ Concordance crosscap numbers of knots and the Alexander polynomial ⋮ Crosscap numbers of torus knots. ⋮ Raising crosscap number while lowering unknotting number ⋮ Crosscap number, ribbon number and essential tangle decompositions of knots ⋮ Crosscap number of knots and volume bounds ⋮ Crosscap numbers of a family of Montesinos knots ⋮ A lower bound of crosscap numbers of alternating knots ⋮ Crosscap numbers of pretzel knots ⋮ Crosscap number and epimorphisms of two-bridge knot groups ⋮ Crosscap numbers of alternating knots via unknotting splices ⋮ Four-genus and four-dimensional clasp number of a knot ⋮ Boundary slopes of non-orientable Seifert surfaces for knots

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