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Four-genera of quasipositive knots

โœ Scribed by Toshifumi Tanaka


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
319 KB
Volume
83
Category
Article
ISSN
0166-8641

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โœฆ Synopsis


By using a result of Rudolph concerning the four-genera of classical knots, we give an infinite family of knots which have arbitrary large gaps between the four-genera and the topological fourgenera.


๐Ÿ“œ SIMILAR VOLUMES


Unknotting numbers of quasipositive knot
โœ Toshifumi Tanaka ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 371 KB

By using a result of L. Rudolph concerning the four-genus of a classical knot, we calculate the unknotting numbers of knots. We give an example of an infinite family of two-bridge knots which have arbitrary unknotting numbers which are equal to their three-genera. We also calculate the unknotting nu

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