\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 Aisling Kenny} % % \medskip \noindent % % {\bf Geometrically Constructed Bases for Homology of Non-Crossing Partition Lattices} % % \vskip 5mm \noindent % % % % For any finite, real reflection group $W$, we construct a geometric basis for the homology of the corresponding non-crossing partition lattice. We relate this to the basis for the homology of the corresponding intersection lattice introduced by Bj\"{o}rner and Wachs using a general construction of a generic affine hyperplane for the central hyperplane arrangement defined by $W$. \bye .