Monodromy And Henon Mappings
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We discuss the monodromy action of loops in the horseshoe locus of the Henon map on its Julia set. We will show that for a particular class of loops there is a certain combinatorially-defined subset of the Henon Julia set which must remain invariant under the monodromy action of loops in certain regions. We will then describe a conjecture for what the monodromy actions of these loops are as well as a possible connection between the algebraic structure of automorphisms of the full 2-shift and the existence of certain types of loops in the horseshoe locus.
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2009-10-13T20:16:58Z
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dissertation or thesis