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Genera of some closed 4-braids

โœ Scribed by Ki Hyoung Ko; Sang Jin Lee

Book ID
104295164
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
960 KB
Volume
78
Category
Article
ISSN
0166-8641

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โœฆ Synopsis

We obtain the genera of knots or links that are the closures of certain types of 4-braids. These 4-braids are written as positive words in the band-generator presentation of the 4-braid group considered by E.S. Kang et al. in this volume, and their closures naturally bound surfaces that consist of four disks and half-twisted bands connecting any two disks. In fact we show that these spanning surfaces have the minimal genera.

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