Abstract:

A torus knot, K(p,q), where p is the number of strands and q is the number of twists, is a knot that lies on the surface of an unknotted torus. By taking a torus knot and twisting r adjacent strands n full twists, we get a twisted torus knot, K(p,q,r,n). A knot is said to be fibered if its complement is a surface bundle over S1. We will discuss some methods to determine which twisted torus knots are fibered.