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Spring Topology and Dynamical Systems Conference 2008
March 13-15, 2008
University of Wisconsin Milwaukee and Marquette University
Milwaukee, WI, USA

Organizers
Ric Ancel, Karen Brucks, Craig Guilbault, Chris Hruska, Suzanne Hruska, Boris Okun (UWM); Paul Bankston (Marquette); Lois Kailhofer (Alverno College).

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Structural stability of hyperbolic Henon maps
by
Greg Buzzard
Purdue University
Coauthors: Adrian Jenkins

For C1 diffeomorphisms of a compact manifold, the structural stability theorem implies that structural stability is equivalent to Axiom A plus the strong transversality condition. We prove an analog of one direction of this equivalence in the case of complex Henon maps: hyperbolicity implies global structural stability. The proof uses ideas of Robinson from the smooth case as well as holomorphic motions in one variable glued together to give a holomorphic motion in two dimensions.

Date received: February 22, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawk-64.