THE HALF-TWISTED SPLICE OPERATION ON REDUCED KNOT PROJECTIONS

• DOI: 10.1142/s021821651250112x
• Publication Date: 2012-06-28T03:37:45Z
• Authors: NOBORU ITO; AYAKA SHIMIZU
• Keywords: Mathematics - Geometric Topology; FOS: Mathematics; Geometric Topology (math.GT); 0101 mathematics; 01 natural sciences

We show that any nontrivial reduced knot projection can be obtained from a trefoil projection by a finite sequence of half-twisted splice operations and their inverses such that the result of each step in the sequence is reduced.