# Article

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Summary:
This paper constitutes a summary of the author's Ph.D. thesis [The cell complex construction and higher \$R\$-torsion for bundles with framed Morse function (Brandeis Univ. 1989)]. Proofs of the results cited here will appear elsewhere.\par The first section is devoted to outlining a means of passing in a continuous way from the space of pairs \$(M,f)\$, where \$M\$ is a compact smooth manifold and \$f\$ is a Morse function on \$M\$, into a moduli space for finite cell complexes.\par In section two the results of section one are applied in special instances to construct a new invariant which is a parametrized analogue of Reidemeister torsion. This invariant takes values in a certain subquotient of higher algebraic \$K\$-groups of the complex numbers.

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