Crosscap numbers of alternating knots via unknotting splices

DOI10.1142/S0129167X20500573zbMath1459.57011arXiv1905.11367MaRDI QIDQ5853660

Thomas Kindred

Publication date: 11 March 2021

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

Full work available at URL: https://arxiv.org/abs/1905.11367

zbMATH Keywords

knotsplicealternatingcrosscap numberGauss codestate surface

Mathematics Subject Classification ID

Knot theory (57K10)

Related Items (7)

A characterization of alternating links in thickened surfaces ⋮ PLUMBING AND COMPUTATION OF CROSSCAP NUMBER ⋮ Crosscap number three alternating knots ⋮ AUTOMATIC COMPUTATION OF CROSSCAP NUMBER OF ALTERNATING KNOTS ⋮ Crosscap number of knots and volume bounds ⋮ A lower bound of crosscap numbers of alternating knots ⋮ Crosscap number and epimorphisms of two-bridge knot groups

Cites Work

• A classification of spanning surfaces for alternating links
• Guts of surfaces and the colored Jones polynomial
• Closed incompressible surfaces in alternating knot and link complements
• The classification of alternating links
• Crosscap numbers and the Jones polynomial
• Crosscap number of a knot
• Computing the Crosscap Number of a Knot Using Integer Programming and Normal Surfaces
• Quasifuchsian state surfaces
• The Tait flyping conjecture
• Crosscap number and knot projections
• A lower bound of crosscap numbers of alternating knots
• ESSENTIAL STATE SURFACES FOR KNOTS AND LINKS

This page was built for publication: Crosscap numbers of alternating knots via unknotting splices