102 citations · 119 across the 8 of their papers we have counts for
4 papers · 1 filter
On the topology of nested set complexes
Eva Maria Feichtner, Irene Mueller
Nested set complexes appear as the combinatorial core of De Concini-Procesi arrangement models. We show that nested set complexes are homotopy equivalent to the order complexes of…
A desingularization of real differentiable actions of finite groups
Eva Maria Feichtner, Dmitry N. Kozlov
We provide abelianizations of differentiable actions of finite groups on smooth real manifolds. De Concini-Procesi wonderful models for (local) subspace arrangements and a careful…
Incidence combinatorics of resolutions
Eva Maria Feichtner, Dmitry N. Kozlov
We introduce notions of combinatorial blowups, building sets, and nested sets for arbitrary meet-semilattices. This gives a common abstract framework for the incidence combinatoric…
Abelianizing the real permutation action via blowups
Eva Maria Feichtner, Dmitry N. Kozlov
We present an abelianization of the permutation action of the symmetric group S_n on R^n in analogy to the Batyrev abelianization construction for finite group actions on complex m…