D. Kozlov

activity

20012008

most citedSimple homotopy types of Hom-complexes, neighborhood complexes, Lovász complexes, and atom crosscut complexes

27 citations · 75 across the 20 of their papers we have counts for

collaborators

Showing 2008 · math.ATShow all

3 papers · 2 filters

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 $T M_{g, n}$ of rational tropical curves of genus $g$ with $n$ marked points, with $g \geq 2$ . 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 $M G_{1, n}^{v}$ , which parametrize the isometry classes of metr…

math.AT2008★ 4 cited

Topology of moduli spaces of tropical curves with marked points

Dmitry N. Kozlov

In this paper we study topology of moduli spaces of tropical curves of genus $g$ with $n$ marked points. We view the moduli spaces as being imbedded in a larger space, which we cal…