Dear Topologists and Friends of Topology, Bo-hyun will be giving today's seminar talk at 3:30 in MSCS 514.

Title: An Algorithm to detect three bridge knots which are in bridge positions

Abstract: The Bracket Polynomial is invariant under a regular isotopy but it is not isotopy invariant because it is not invariant under a type I Reidemeister move. Kauffman, however, found Kauffman Polynomial by that would make the polynomial isotopy invariant and make the polynomial equivalent to the Jones Polynomial. I would like to present a way to calculate the Kauffman Polynomial of two bridge presentation knots and three bridge presentation knots by using four $2\times 2$ matrices and eight $5\times 5$ matrices respectively. This one can help us to detect three bridge knots which are in three bridge position.