… We prove a result which might be regarded as a homological version of the Mostow Rigidity
Theorem, valid for any compact manifold of negative sectional curvature of dimension> 2: …

… As a consequence of the rigidity of the elliptic genus, … -module spectrum as a homology
ko-module spectrum via the map s: ko-+MSpin which looks like a ring spectrum map in homology…

… Abstract: We study the rigid limit of a class of hypermultiplet moduli spaces appearing in
Calabi-Yau compactifications of type IIB string theory, which is induced by a local limit of the …

We study elliptic operators naturally derived from loop spaces and show that their modularity
implies their rigidity. As consequences we give three applications. The first is a simple and …

… We have just seen on the examples that it is indeed very rigid. However, in contrast to …
What do we know about the behaviour of homological dimensions? The oldest general result is …

… but the Gorenstein dimension may be finite … dimension all finite modules have finite G-dimension,
a result which is doubtless responsible for the name of this homological dimension. …

… A second aim is linking rigid cohomology to cyclic homology. For cyclic homology in …
We show that it computes the rigid cohomology if A is of finite type over k. The first step to …

… }\) is rigid and determine direct sum decompositions for all fusion products of modules in
category \(\… We refer readers unfamiliar with homological algebra concepts such as injective and …

… between K-homology theory and relative eta invariants. Our aim is to place certain rigidity
theorems for relative eta invariants into the context of Baum’s geometric K-homology theory [8]. …

… the derived category of dg modules with finite-dimensional cohomology). Let M be a … module
over A which is rigid and simple. Then M is quasi-isomorphic to a C –equivariant dg module…