%1995-034


\documentstyle{amsppt}
\magnification=\magstep1

\topmatter

\author
Mikhail Lyubich\\
Michael Yampolsky
\endauthor
\title
Dynamics of quadratic polynomials:\\Complex bounds for real maps 
\endtitle

\abstract
We extend Sullivan's complex a priori bounds to real quadratic
polynomials with essentially bounded combinatorics. Combined with the
previous results of the first author, this yields complex bounds for
all real quadratics. Local connectivity of the corresponding Julia
sets follows.
\endabstract
\endtopmatter

\enddocument