\magnification=1200
\hsize=4in
\overfullrule=0pt
\input amssym
%\def\frac#1 #2 {{#1\over #2}}
\def\emph#1{{\it #1}}
\def\em{\it}
\nopagenumbers
\noindent
%
%
{\bf Edward A. Bender, Zhicheng Gao and L. Bruce Richmond}
%
%
\medskip
\noindent
%
%
{\bf The Map Asymptotics Constant $t_g$}
%
%
\vskip 5mm
\noindent
%
%
%
%
The constant $t_g$ appears in the asymptotic formulas for a variety of
rooted maps on the orientable surface of genus $g$.  Heretofore,
studying this constant has been difficult.  A new recursion derived by
Goulden and Jackson for rooted cubic maps provides a much simpler
recursion for $t_g$ that leads to estimates for its asymptotics.



\bye

.