USA Topology Seminar

A loop theorem/Dehn's lemma for some three-orbifolds

Josh Barnard, University of South Alabama

Details
Friday, February 20, 2009  
  ILB 430
  3:00-4:00 pm  

Abstract The equivariant loop theorem implies the existence of a loop theorem/Dehn's lemma for three-orbifolds that are good (i.e., covered by a three-manifold). We will review the loop theorem for three-manifolds, discuss orbifolds, and then sketch a proof of a loop theorem/Dehn's lemma for any locally-orientable three-orbifold (good or bad) whose singular set is labeled with powers of two.