Seminar Event Detail


Topology

Date:  Thursday, October 05, 2017
Location:  1866 East Hall (3:00 PM to 4:00 PM)

Title:  The braid index and the fractional Dehn twist coefficient

Abstract:   The braid index of a knot is the least number of strands necessary to represent the knot as a closure of a braid. If we view a braid as an element of the mapping class group of the punctured disk, its fractional Dehn twist coefficient (FDTC) measures the amount of twisting it exerts about the boundary. In this talk I will discuss joint work with Peter Feller showing that if a braid has FDTC greater than n-1, then its corresponding knot is of minimal braid index, which draws a connection between braids as topological and geometric objects.

Files:


Speaker:  Diana Hubbard
Institution:  UM

Event Organizer:   Nicholas Vlamis    vlamis@umich.edu

 

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