27 citations · 70 across the 17 of their papers we have counts for
6 papers · 1 filter
Group Actions on Posets
Eric Babson, Dmitry N. Kozlov
In this paper we study quotients of posets by group actions. In order to define the quotient correctly we enlarge the considered class of categories from posets to loopfree categor…
Complexes of graph homomorphisms
Eric Babson, Dmitry N. Kozlov
is a polyhedral complex defined for any two undirected graphs and . This construction was introduced by Lovász to give lower bounds for chromatic numbers of graph…
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…
Topological obstructions to graph colorings
Eric Babson, Dmitry N. Kozlov
For any two graphs and Lovász has defined a cell complex having in mind the general program that the algebraic invariants of these complexes should provide obstr…
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…