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...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Springer Nature
2022
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