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math.DG2026
Stability phenomena in Deligne--Mumford compactifications via Morse theory
Changjie Chen
We study the rational homology of the Deligne--Mumford compactification of the moduli space of stable curves via a family of Morse functions, namely t…
math.DG2025
Index gap of the systole function
Changjie Chen
It is known that the systole function is topologically Morse on the moduli space and the functions are -Morse on the Deligne-Mumford compacti…