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Grid diagram for singular links

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Title
Grid diagram for singular links
Author(s)
Byung Hee An; Hwa Jeong Lee
Publication Date
2018-04
Journal
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.27, no.4, pp.1850023 -
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Abstract
In this paper, we define the set of singular grid diagrams which provides a unified description for singular links, singular Legendrian links, singular transverse links, and singular braids. We also classify the complete set of all equivalence relations on which induce the bijection onto each singular object. This is an extension of the known result of Ng-Thurston [Grid diagrams, braids, and contact geometry, in Proc. Gökova Geometry-Topology Conf. 2008, Gökova Geometry/Topology Conference (GGT), Gökova, 2009, pp. 120-136] for nonsingular links and braids. © 2018 World Scientific Publishing Company
URI
https://pr.ibs.re.kr/handle/8788114/4560
ISSN
0218-2165
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
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2018_BHA_Grid diagram for singular links.pdfDownload

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