Morse complexity profiles and persistent Whitehead torsions are new simple-homotopy invariants for filtered complexes that remain stable under interleavings and detect distinctions missed by persistent homology.
Milnor, Whitehead torsion,Bulletin of the Amer
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Persistent Simple-homotopy invariants via discrete Morse theory
Morse complexity profiles and persistent Whitehead torsions are new simple-homotopy invariants for filtered complexes that remain stable under interleavings and detect distinctions missed by persistent homology.