Date: Thursday, March 15, 2018
Location: 1866 East Hall (3:00 PM to 4:00 PM)
Title: Edge preserving maps of curve graphs and nonseparating curve graphs, and rectangle preserving maps of HatcherThurston graphs
Abstract: Let R be a compact, connected, orientable surface of genus g with n boundary components. We prove that edge preserving maps of the curve graphs on R are induced by homeomorphisms of R when g=0, n >= 5 or g = 1, n >= 3 or g >= 2. We will also talk about similar results for the edge preserving maps of the nonseparating curve graphs, and the rectangle preserving maps of the HatcherThurston graphs.
Files:
Speaker: Elmas Irmak
Institution: Bowling Green State University / UM
Event Organizer: Nicholas Vlamis vlamis@umich.edu
