57 citations · 499 across the 40 of their papers we have counts for
40 papers
Sasaki versus Kähler groups
D. Kotschick, G. Placini
We study fundamental groups of compact Sasaki manifolds and show that compared to Kähler groups, they exhibit rather different behaviour. This class of groups is not closed under t…
Unbounded Pontryagin numbers on nonnegatively curved spin manifolds
E. Hsiao, D. Kotschick
We prove that any rational linear combination of Pontryagin numbers that does not factor through the universal elliptic genus is unbounded on connected closed spin manifolds of non…
Sasaki structures distinguished by their basic Hodge numbers
D. Kotschick, G. Placini
In all odd dimensions we produce examples of manifolds admitting pairs of Sasaki structures with different basic Hodge numbers. In dimension we prove more precise resu…
The complex geometry of two exceptional flag manifolds
D. Kotschick, D. K. Thung
We discuss the complex geometry of two complex five-dimensional Kähler manifolds which are homogeneous under the exceptional Lie group . For one of these manifolds rigidity of…
On stability of non-domination under taking products
D. Kotschick, C. Loeh, C. Neofytidis
We show that non-domination results for targets that are not dominated by products are stable under Cartesian products.
Updates on Hirzebruch's 1954 Problem List
D. Kotschick
We present updates to the problems on Hirzebruch's 1954 problem list focussing on open problems, and on those where substantial progress has been made in recent years. We discuss s…