31 citations · 133 across the 7 of their papers we have counts for
7 papers
The deficiencies of Kaehler groups
D. Kotschick
Generalizing the theorem of Green--Lazarsfeld and Gromov, we classify Kaehler groups of deficiency at least two. As a consequence we see that there are no Kaehler groups of even an…
On three-manifolds dominated by circle bundles
D. Kotschick, C. Neofytidis
We determine which three-manifolds are dominated by products. The result is that a closed, oriented, connected three-manifold is dominated by a product if and only if it is finitel…
Pontryagin numbers and nonnegative curvature
D. Kotschick
We prove that any rational linear combination of Pontryagin numbers that is not a multiple of the signature is unbounded on connected closed oriented manifolds of nonnegative secti…
Topologically invariant Chern numbers of projective varieties
D. Kotschick
We prove that a rational linear combination of Chern numbers is an oriented diffeomorphism invariant of smooth complex projective varieties if and only if it is a linear combinatio…
Geometric formality of homogeneous spaces and of biquotients
D. Kotschick, S. Terzic
We provide examples of homogeneous spaces which are neither symmetric spaces nor real cohomology spheres, yet have the property that every invariant metric is geometrically formal.…
Entropies, volumes, and Einstein metrics
D. Kotschick
We survey the definitions and some important properties of several asymptotic invariants of smooth manifolds, and discuss some open questions related to them. We prove that the (no…