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Grid diagram for singular links

Title
Grid diagram for singular links
Authors
An, Byung HeeLee, Hwa Jeong
Issue Date
2018-04
Citation
Journal of Knot Theory and its Ramifications, 27(4)
Type
Article
Article Type
Article
Keywords
Singular grid diagramsingular linkssingular braidssingular Legendrian linkssingular transverse linksFLOER HOMOLOGYTRANSVERSE KNOTSLEGENDRIAN KNOTSINVARIANTSTHEOREM
ISSN
0218-2165
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
http://hdl.handle.net/20.500.11750/8986
DOI
10.1142/S0218216518500232
Publisher
World Scientific Publishing Co
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