We announce a reformulation of the conjecture in [8,9,10]. The advantage of the new version is that it is simpler and applies more generally than the earlier statement. A key point is to use the… Expand

The basic tool for a general Riemann-Roch theorem is MacPherson’s graph construction, applied to a complex E. of vector bundles on a scheme Y, exact off a closed subset X. This produces a localized… Expand

Publisher Summary This chapter discusses the Chern character for discrete groups. H j (X;Q) is the j-th Cech cohomology group of X with coefficients the rational numbers Q. The key property of this… Expand

THE HOMOLOGY and cohomology rings of the classical compact Lie groups so(n), SU(n), Sp(n) are well known (for example see Bore1 [3]). Most of these groups have non-trivial centers, and in [4], Bore1… Expand

We give a proof that the geometric K-homology theory for finite CWcomplexes defined by Baum and Douglas is isomorphic to Kasparov’s Khomology. The proof is a simplification of more elaborate… Expand

In this paper we continue the study of elliptic operators and ΛMiomology, pursued by the first two authors in [5], [6], [7]. We particularly focus on the concept of relative cycles, their production… Expand

Let M be a compact complex analytic manifold and let x be a holomorphic vector-field on M. In an earlier paper by one of us (see [2]) it was shown that the behavior of x near its zeroes determined… Expand