Department of Mathematics

Topology

  •  Rational and integral homology balls
  •  10/23/2017
  •  4:10 PM - 5:30 PM
  •  C304 Wells Hall
  •  Selman Akbulut, MSU

I will explain how to generate infinite families of rational balls from figure eight knot, which bound Rohlin invariant one Brieskorn homology spheres (a joint work with Kyle Larson). I will then discuss the question of when a contractible manifold fails to be a cork; this happens either if there is no exotic involution on its boundary, or it fails to be Stein. I will give examples of Stein non-corks, and non-Stein non-loose corks. I will discuss open questions of whether there are loose-corks that can not be corks, or if there are infinite order corks (this part is a joint work with Danny Ruberman).

 

Contact

Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science