Grid diagram for singular links
arXiv:1708.03747 · doi:10.1142/S0218216518500232
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 for non-singular links and braids.
33 pages, 34 figures