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arxiv: 2105.06739 · v1 · pith:SXHGRWOGnew · submitted 2021-05-14 · 🧮 math.GT

An upperbound for the number of critical points of the systole function on the surface moduli space

classification 🧮 math.GT
keywords criticalnumberpointssystoleboundfunctionobtainupper
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We obtain an upper bound for the number of critical points of the systole function on $\mathcal{M}_g$. Besides, we obtain an upper bound for the number of those critical points whose systole is smaller than a constant.

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