26 citations · 40 across the 6 of their papers we have counts for
6 papers
Large and small group homology
Michael Brunnbauer, Bernhard Hanke
For several instances of metric largeness like enlargeability or having hyperspherical universal covers, we construct non-large vector subspaces in the rational homology of finitel…
On hyperbolic cohomology classes
M. Brunnbauer, D. Kotschick
We study hyperbolic cohomology classes in the general context of simplicial complexes and prove homological invariance statements for them. We relate the existence of hyperbolic co…
An essential relation between Einstein metrics, volume entropy, and exotic smooth structures
Michael Brunnbauer, Masashi Ishida, Pablo Suárez-Serrato
We show that the minimal volume entropy of closed manifolds remains unaffected when nonessential manifolds are added in a connected sum. We combine this result with the stable coho…
On manifolds satisfying stable systolic inequalities
Michael Brunnbauer
We show that for closed orientable manifolds the -dimensional stable systole admits a metric-independent volume bound if and only if there are cohomology classes of degree t…
Filling inequalities do not depend on topology
Michael Brunnbauer
Gromov's universal filling inequalities relate the filling radius and the filling volume of a Riemannian manifold to its volume. The main result of the present article is that in d…
Homological invariance for asymptotic invariants and systolic inequalities
Michael Brunnbauer
We show that the systolic constant, the minimal entropy, and the spherical volume of a manifold depend only on the image of the fundamental class under the classifying map of the u…