It is shown in this paper that the topological phenomenon ”zero in the continuous spectrum”, discovered by S.P.Novikov and M.A.Shubin, can be explained in terms of a homology theory on the category… (More)

Let K denote a closed odd-dimensional smooth manifold and let E be a flat vector bundle over K. In this situation the construction of Ray and Singer [RS] gives a metric on the determinant line of the… (More)

We establish an equivariant generalization of the Novikov inequalities which allow to estimate the topology of the set of critical points of a closed basic invariant form by means of twisted… (More)

BEN-DAvm, Joseph, Ftau~mental Research and the Universities. Some Comments on International Differences, Organisation for Economic Co-operation and Development, Paris 1968. 111 pp. F. 6.-, $1,50.… (More)

Given a holomorphic Hilbertian bundle on a compact complex manifold, we introduce the notion of holomorphic L 2 torsion, which lies in the determinant line of the twisted L 2 Dolbeault cohomology and… (More)

In a recent report from this laboratory (I), the infra-red spectrum of a purified fraction derived from the so called “guinea pig antistiffness” factor was shown to be identical with that of… (More)