33 citations · 133 across the 8 of their papers we have counts for
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3 papers · 1 filter
math.GR2003★ 23 cited
Quasi-homomorphisms and stable lengths in mapping class groups
D. Kotschick
We give elementary applications of quasi-homomorphisms to growth problems in groups. A particular case concerns the number of torsion elements required to factorise a given element…
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.GT2003★ 16 cited
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…