| Abstract: In this series of talks I will outline recent work with A.
Banyaga
on the construction of a chain complex associated to a Morse-Bott
function
meeting certain transversality conditions. This chain complex reduces
to
the Morse-Smale-Witten complex when the function is Morse-Smale, and it
reduces to the chain complex of singular N-cube chains when the
function is
constant. By showing that the homology of the chain complex is
independent
of the function we give a new proof of the Morse Homology Theorem. |
