4 papers · 1 filter
Cohomology of moduli spaces of pointed curves
Jinwon Choi, Young-Hoon Kiem
In this paper, after reviewing recent progress on the cohomology of , we further our investigation on the cohomology of moduli spaces of pointed curves in…
Asymptotic distribution of the Betti numbers of
Jinwon Choi, Young-Hoon Kiem
Asymptotic normality is frequently observed in large combinatorial structures, rigorously established for many quantities such as cycles or inversions in random permutations, the n…
Characteristic polynomial of and log-concavity
Jinwon Choi, Young-Hoon Kiem, Donggun Lee
Motivated by Stanley's generalization of the chromatic polynomial of a graph to the chromatic symmetric function, we introduce the characteristic polynomial of a representation of…
Recursive algorithm and log-concavity of representations on the cohomology of
Jinwon Choi, Young-Hoon Kiem, Donggun Lee
We provide a programmable recursive algorithm for the -representations on the cohomology of the moduli spaces of -pointed stable curv…