9 citations · 18 across the 8 of their papers we have counts for
8 papers
Remark on the Novikov conjecture and the homotopy invariance of the Hirzebruch L-class
Mario Listing
We use K-area homology to summarize some results about the Novikov conjecture and the Hirzebruch L-class. In fact, we provide necessary and sufficient conditions for closed manifol…
Relative K-area homology and applications
Mario Listing
We show an Uhlenbeck type estimate for closed simply connected manifolds which provides the existence of certain exact sequences in K-area homology. This leads to the behavior of t…
Scalar curvature and vector bundles
Mario Listing
In the first part we use Gromov's K--area to define the K--area homology which stabilizes into singular homology on the category of pairs of compact smooth manifolds. The second pa…
Homology of finite K-area
Mario Listing
We use Gromov's K--area to define a generalized homology theory on compact smooth manifolds. In fact, this theory collects obstructions to the enlargeability of the manifold and it…
Scalar Curvature on Compact Symmetric Spaces
Mario Listing
A classic result by Gromov and Lawson states that a Riemannian metric of non--negative scalar curvature on the Torus must be flat. The analogous rigidity result for the standard sp…
Conformally invariant Cotton and Bach tensor in N-dimensions
Mario Listing
This paper presents conformal invariants for Riemannian manifolds of dimension greater than or equal to four whose vanishing is necessary for a Riemannian manifold to be conformall…