33 citations · 133 across the 8 of their papers we have counts for
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math.DG2003★ 13 cited
Monopole classes and Einstein metrics
D. Kotschick
We introduce the notion of a special monopole class on a four-manifold. This is used to prove restrictions on the smooth structures of Einstein manifolds. As an application we prov…
math.DG2000
On products of harmonic forms
D. Kotschick
We prove that manifolds admitting a Riemannian metric for which products of harmonic forms are harmonic satisfy strong topological restrictions, some of which are akin to propertie…
math.DG1999
On regularly fibered complex surfaces
D. Kotschick
We show that a compact complex surface which fibers smoothly over a curve of genus >1 with fibers of genus >1 fibers holomorphically. We deduce an improvement of a result in [D Kot…