2023/06/01 by Dimitrios Kodokostas, Kodokostas, Dimitrios
Mathematics · Computer Science · #Geometric and Algebraic Topology #Logic, programming, and type systems #Artificial Intelligence in Games
paper · pdf · doi:10.48550/arxiv.2306.00954
We construct two complete invariants of oriented classical knots in space. The value of each invariant on any knot is a set, infinite for the first invariant and finite for the second. The finite set is computed algorithmically from any knot diagram in a finite number of steps. The algorithm reveals the knotting number of the knot as well.