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1999 Spring Topology Conference
March 18-20, 1999
University of Utah
Salt Lake City, UT, USA

Organizers
Mladen Bestvina, Greg Conner, Misha Kapovich, Bruce Kleiner

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On The Plane Fixed Point Theorem
by
Vladimir N. Akis
California State University, Los Angeles

We prove every smooth map of a planar domain, with non-negative Jacobian and isolated singularities, must have a fixed point in every invariant continuum that does not separate the plane. The language and techniques used are from basic complex analysis and differential topology in dimension two.

Date received: February 19, 1999

Copyright © 1999 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 # caca-47.