On October 4, the geometry-topology seminar continues with an internal speaker, Dave Futer.
Title: Detecting fiber surfaces
Abstract: For a knot diagram , a state surface is a certain surface with boundary along , algorithmically constructed from by making a binary choice at each crossing. This construction generalizes Seifert’s algorithm for constructing an orientable surface with boundary . I will describe this construction and discuss a simple diagrammatic criterion that characterizes when one of these state surfaces is a fiber in the knot complement .