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Young-Hoon Kiem

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Preprint Sep 2026

Hodge-Deligne and Poincar\'e polynomials of $\overline{\mathcal M}_{1,n}$

By studying wall crossings of Hassett moduli spaces of weighted pointed curves, we prove a recursive formula that reduces the computation of the cohomology of $\overline{\mathcal M}_{g,n}$ to that of the moduli space $\overline{\mathcal M}_{g,(0^+)^n}$ of stable pointed curves of minimal weights. For $g=1$, we further...

Young-Hoon Kiem · 0 citations
Review Aug 2026

Cohomology of moduli spaces of pointed curves

In this paper, after reviewing recent progress on the cohomology of $\overline{{\cal M}}_{0,n}$, we further our investigation on the cohomology of moduli spaces of pointed curves in continuation of [2,4,5,6,7,8]. In particular, we prove that the Betti number distribution of the Fulton-MacPherson compactification $C[n]$...

Jinwon Choi, Young-Hoon Kiem · 0 citations

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