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- W2981170041 abstract "We prove that for cobordant closed spin manifolds of dimension $ngeq 3$ the associated spaces of metrics with invertible Dirac operator are homotopy equivalent. This is the spinorial counterpart of a similar result on positive scalar curvature of Chernysh/Walsh and generalizes the surgery result of Ammann-Dahl-Humbert on the existence of metrics with invertible Dirac operator under surgery. We also give a relative statement of this homotopy equivalence." @default.
- W2981170041 created "2019-10-25" @default.
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- W2981170041 date "2019-10-21" @default.
- W2981170041 modified "2023-09-26" @default.
- W2981170041 title "Homotopy equivalence of spaces of metrics with invertible Dirac operator" @default.
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