MIRROR-CURVE CODES FOR KNOTS AND LINKS


Ljiljana Radović, Slavik Jablan




Inspired by Lomonaco-Kauffman paper on quantum knots and knot mosaics we construct the more concise representation of knot mosaics and grid diagrams via mirror-curves. We introduce codes for mirror-curves treated as knot or link diagrams placed in rectangular square grid, suitable for software implementations and discuss possible applications of mirror-curves.