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math.DG2023
Morse theory on moduli of curves
Changjie Chen
We provide a new approach to studying the moduli space of curves via Morse theory and hyperbolic geometry, by introducing a family of Morse functions on the moduli space $\overline…
math.DG2017
Relations between Killing, Global Jacobi and Solenoidal Vector Fields
Changjie Chen
In this article we investigate the relations between three kinds of vector fields with close connection to each other. A compact orientable manifold enables us to integrate over it…