TY - JOUR
T1 - Grid diagram for singular links
AU - An, Byung Hee
AU - Lee, Hwa Jeong
N1 - Publisher Copyright:
© 2018 World Scientific Publishing Company.
PY - 2018/4/1
Y1 - 2018/4/1
N2 - 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.
AB - 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.
KW - singular braids
KW - Singular grid diagram
KW - singular Legendrian links
KW - singular links
KW - singular transverse links
UR - http://www.scopus.com/inward/record.url?scp=85045915583&partnerID=8YFLogxK
U2 - 10.1142/S0218216518500232
DO - 10.1142/S0218216518500232
M3 - Article
AN - SCOPUS:85045915583
SN - 0218-2165
VL - 27
JO - Journal of Knot Theory and its Ramifications
JF - Journal of Knot Theory and its Ramifications
IS - 4
M1 - 1850023
ER -