Classification of Escaping Exponential Maps

Abstract

We give a complete classification of the set of parameters $\kappa$ for which the singular value of $E_{\kappa }:z\mapsto \exp (z)+\kappa$ escapes to infinity under iteration. In particular, we show that every path-connected component of this set is a curve to infinity.

13 pages, 1 figure -- final version (to appear in Proc. AMS); only minor changes from v5