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3 papers · 1 filter
math.AT2009★ 1 cited
The threshold function for vanishing of the top homology group of random -complexes
Dmitry N. Kozlov
For positive integers and , and the probability function , we let denote the probability space of all at most -dimensional simplicial comple…
math.AT2008★ 1 cited
Moduli spaces of tropical curves of higher genus with marked points and homotopy colimits
Dmitry N. Kozlov
The main characters of this paper are the moduli spaces of rational tropical curves of genus with marked points, with . We reduce the study of the homot…
math.AT2008
Moduli spaces of metric graphs of genus 1 with marks on vertices
Dmitry N. Kozlov
In this paper we study homotopy type of certain moduli spaces of metric graphs. More precisely, we show that the spaces , which parametrize the isometry classes of metr…