2 papers
math.GT2025
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…
math.DG2024
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 i…