27 citations · 95 across the 36 of their papers we have counts for
41 papers
Configuration spaces of labeled points on a circle with two anchors
Dmitry N. Kozlov
In this paper we calculate the homology of configuration spaces of points on a circle, subject to the condition that two pre-determined points are included in the configuration…
Stirling complexes
Dmitry N. Kozlov
In this paper we study natural reconfiguration spaces associated to the problem of distributing a fixed number of resources to labeled nodes of a tree network, so that no node is l…
Quantitative aspects of acyclicity
Dmitry N. Kozlov, Roy Meshulam
We study several aspects of the -th Cheeger constant of a complex X, a parameter that quantifies the distance of from a complex with nontrivial -th cohomology over $\…
The first Cheeger constant of a simplex
D. N. Kozlov
The coboundary expansion generalizes the classical graph expansion to the case of the general simplicial complexes, and allows the definition of the higher-dimensional Cheeger cons…
Topology of scrambled simplices
Dmitry N. Kozlov
In this paper we define a family of topological spaces, which contains and vastly generalizes the higher-dimensional Dunce hats. Our definition is purely combinatorial, and is phra…
All binomial identities are orderable
Dmitry N. Kozlov
The main result of this paper is to show that all binomial identities are orderable. This is a natural statement in the combinatorial theory of finite sets, which can also be appli…