Louis H. Kauffman studies knot theory and its connections with statistical mechanics, quantum theory and combinatorics. His University of Illinois at Chicago research page identifies these connections.[ref]
His Kauffman bracket computes a polynomial by resolving each crossing into simpler diagrams and combining the resulting states. A correction using the diagram's writhe produces the Jones polynomial. The construction explains how a local crossing rule can yield a global invariant of a knot and gives applications to reduced alternating diagrams.[ref]
State models and the Jones polynomial by Louis H. Kauffman. Introduction and section 2, Definition 2.1 and writhe normalization
Articles by others on the same topic
There are currently no matching articles.