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math.GT2021
Shape of filling-systole subspace in surface moduli space and critical points of systole function
Yue Gao
This paper studies the space consisting of surfaces with filling systoles and its subset, critical points of the systole function. In the first part, we…
math.GT2021
An upperbound for the number of critical points of the systole function on the surface moduli space
Yue Gao
We obtain an upper bound for the number of critical points of the systole function on . Besides, we obtain an upper bound for the number of those critical points who…