25 citations · 125 across the 10 of their papers we have counts for
10 papers
Doubles without open book decompositions from higher signatures
D. Kotschick
We show that in every even dimension there are closed manifolds that are doubles, but have no open book decomposition. In high dimensions, this contradicts the conclusions in Ranic…
Born geometry via Künneth structures and recursion operators
M. J. D. Hamilton, D. Kotschick, P. N. Pilatus
We propose a simple definition of a Born geometry in the framework of Künneth geometry. While superficially different, this new definition is equivalent to the known definitions in…
Characteristic numbers of algebraic varieties
D. Kotschick
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 combination of the Euler…
Fundamental classes not representable by products
D. Kotschick, C. Loeh
We prove that rationally essential manifolds with suitably large fundamental groups do not admit any maps of non-zero degree from products of closed manifolds of positive dimension…
Coarse topology, enlargeability, and essentialness
B. Hanke, D. Kotschick, J. Roe +1
Using methods from coarse topology we show that fundamental classes of closed enlargeable manifolds map non-trivially both to the rational homology of their fundamental groups and…
Failure of separation by quasi-homomorphisms in mapping class groups
H. Endo, D. Kotschick
We show that mapping class groups of surfaces of genus at least two contain elements of infinite order that are not conjugate to their inverses, but whose powers have bounded torsi…