33 citations · 133 across the 8 of their papers we have counts for
4 papers · 1 filter
Minimizing Euler characteristics of symplectic four-manifolds
D. Kotschick
We prove that the minimal Euler characteristic of a closed symplectic four-manifold with given fundamental group is often much larger than the minimal Euler characteristic of almos…
Einstein metrics and the number of smooth structures on a four-manifold
V. Braungardt, D. Kotschick
We prove that for every natural number k there are simply connected topological four-manifolds which have at leat k distinct smooth structures supporting Einstein metrics, and also…
Linking numbers of measured foliations
D. Kotschick, T. Vogel
We generalise the average asymptotic linking number of a pair of divergence-free vector fields on homology three-spheres by considering the linking of a divergence-free vector fiel…
Cycles, submanifolds, and structures on normal bundles
C. Bohr, B. Hanke, D. Kotschick
We give explicit examples of degree 3 cohomology classes not Poincare dual to submanifolds, and discuss the realisability of homology classes by submanifolds with Spin-C normal bun…