Genera of some closed 4-braids

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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. (C) 1997 Published by Elsevier Science B.V.
Publisher
ELSEVIER SCIENCE BV
Issue Date
1997-07
Language
English
Article Type
Article; Proceedings Paper
Keywords

STUDYING LINKS; SEIFERT CIRCLES; BRAIDS; THEOREM; SURFACES

Citation

TOPOLOGY AND ITS APPLICATIONS, v.78, no.1-2, pp.61 - 77

ISSN
0166-8641
URI
http://hdl.handle.net/10203/75381
Appears in Collection
MA-Journal Papers(저널논문)
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