BANDED SURFACES, BANDED LINKS, BAND INDICES AND GENERA OF LINKS

Title
BANDED SURFACES, BANDED LINKS, BAND INDICES AND GENERA OF LINKS
Author(s)
이재운권영수김동석[김동석]
Keywords
SEIFERT SURFACES; FREE GENUS; ARBORESCENT LINKS; CANONICAL GENUS; KNOTS
Issue Date
201306
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Citation
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.22, no.7
Abstract
Every link is shown to be presentable as a boundary of an unknotted flat banded surface. A (flat) banded link is defined as a boundary of an unknotted (flat) banded surface. A link's (flat) band index is defined as the minimum number of bands required to present the link as boundaries of an unknotted (flat) banded surface. Banded links of small (flat, respectively) band index are considered here. Some upper bounds are provided for these band indices of a link using braid representatives and canonical Seifert surfaces of the link. The relation between the band indices and genera of links is studied and the band indices of pretzel knots are calculated.
URI
http://hdl.handle.net/YU.REPOSITORY/29854http://dx.doi.org/10.1142/S0218216513500351
ISSN
0218-2165
Appears in Collections:
이과대학 > 수학과 > Articles
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