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Constraining Reionization with Persistent Homology: a Novel Summary Statistic for Wide-Field Lyman-$α$ Emitter Observations
The spatial clustering of Lyman-$α$ emitters (LAEs) is one of the most promising observables for constraining reionization. In this work, we introduce persistent homology, a popular tool in topological data analysis, and specifically the Betti-0 curve as a summary statistic to characterize the clust
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