Fiber of persistent homology on Morse functions

Let f be a Morse function on a smooth compact manifold M with boundary. The path component PH−1 f (D) containing f of the space of Morse functions giving rise to the same Persistent Homology D = PH( f ) is shown to be the same as the orbit of f under pre-composition φ → f ◦ φ by diffeomorphisms of M...

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Hlavní autoři: Leygonie, J, Beers, D
Médium: Journal article
Jazyk:English
Vydáno: Springer Nature 2022