Grid diagram for singular links
Abstract
In this paper, we define the set of singular grid diagrams SG 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 SG 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.
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