Triviality of fibers for Misiurewicz parameters in the exponential family

Details Triviality of fibers for Misiurewicz parameters in the exponential family Triviality of fibers for Misiurewicz parameters in the exponential family

2009-07-31

arxiv.org/abs/0907.5460v2

Mathematics

Dynamical Systems

Scientific paper

We consider the family of holomorphic maps e^z+c and show that fibers of
postcritically finite parameters are trivial. This can be seen as the first and
simplest class of non-escaping parameters for which we can obtain results about
triviality of fibers in the exponential family.

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