Affiliation:
1. Center for Geometry and Physics, Institute for Basic Science (IBS), Pohang 37673, Republic of Korea
2. School of Undergraduate Studies, College of Transdisciplinary Studies, DGIST, Daegu 42988, Republic of Korea
Abstract
In this paper, we define the set of singular grid diagrams [Formula: see text] 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 [Formula: see text] 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.
Funder
Institute for Basic Sciences
National Research Foundation of Korea
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory