On corks with low shadow-complexity

Thursday, October 12, 2017
Ora Inizio: 
Ora Fine: 
Hironobu Naoe
Tohoku University, Japan

A cork is a contractible Stein domain that gives arise to exotic pairs of 4-manifolds. The first example was found by Akbulut. It is known that any two exotic, simply-connected, closed 4-manifolds are related by a cork twist. We show that there are no corks having shadow-complexity zero. We also show that there are infinitely many corks having shadow-conplexity 1 and 2.