Published in Journal of Gökova Geometry Topology, Volume 8 (2014)
Title Cork twisting Schoenflies problem
Author Selman Akbulut
The stable Andrews-Curtis conjecture in combinatorial group theory is the statement that every balanced presentation of the trivial group can be simplified to the trivial form by elementary moves corresponding to "handle-slides" together with "stabilization" moves. Schoenflies conjecture is the statement that the complement of any smooth embedding of S3 into S4 is a pair of smooth balls. Here we suggest an approach to these problems by a cork twisting operation on contractible manifolds, and demonstrate it on the example of the first Cappell-Shaneson homotopy sphere.
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Submitted: Nov 18, 2014
Accepted: Dec 6, 2014
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