MILNOR AND RAY-SINGER METRICS ON THE EQUIVARIANT DETERMINANT OF A FLAT VECTOR BUNDLE

In this paper, we extend our previous results relating Milnor and Ray-Singer metrics on the determinant of the cohomology of a flat complex vector bundle to the equivariant case. Thus, we extend Lott and Rothenberg and Luck's theorems relating equivariant combinatorial and analytic torsions to flat vector bundles which are not necessarily unitarily flat.