On the classification of knots
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- by Kenneth A. Perko PDF
- Proc. Amer. Math. Soc. 45 (1974), 262-266 Request permission
Abstract:
Linking numbers between branch curves of irregular covering spaces of knots are used to extend the classification of knots through ten crossings and to show that the only amphicheirals in Reidemeister’s table are the seven identified by Tait in 1884. Diagrams of the 165 prime $10$-crossing knot types are appended. (Murasugi and the author have proven them prime; Conway claims proof that the tables are complete.) Including the trivial type, there are precisely 250 prime knots with ten or fewer crossings.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 45 (1974), 262-266
- MSC: Primary 55A25
- DOI: https://doi.org/10.1090/S0002-9939-1974-0353294-X
- MathSciNet review: 0353294