Event Detail

Event Type: 
Topology Seminar
Date/Time: 
Monday, September 24, 2012 - 05:00
Location: 
GILK 113

Speaker Info

Local Speaker: 
Abstract: 

The embedding homogeneity group for a Cantor set C in S3 is the group of homeomorphisms of C that extend to homeomrophisms of S3 . The groups ranges from the full set of homeomorphisms of C (if C is standardly embedded) to only the identity homeopmorphism (if C is rigidly embedded). We show that for each finitely generated abelian group G there is an embedded Cantor set CG with embedding homogeneity group G. This has implications for the mapping class group of the three-manifold complement of C.