Cork twist and infinite exotic families

Speaker:

Motoo Tange

Affiliation:

University of Tsukuba

Date:

Thu, 20/10/2016 - 16:30 - 17:00

Location:

MPIM Lecture Hall [2]

Parent event:

Conference on 4-manifolds and knot concordance [3]

Cork twist is a 4-dimensional surgery by a contractible submanifold. This twist is a significant objet in terms of which any exotic pair is related by a cork wist each other. In this talk I will explain some corks (with finite order or infinite order) and show that some infinite exotic families are not related by any infinite order cork.