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- W4288405912 abstract "We express Witten's deformation of Morse functions using deformation to the normal cone and $C^*$-modules. This allows us to obtain asymptotics of the `large eigenvalues'. Our methods extend to Morse functions along a foliation. We construct the Witten deformation using any generic function on an arbitrary foliation on a compact manifold and establish the compactness of its resolvent. When the foliation has a holonomy invariant transverse measure we show that our result implies Morse inequalities obtained by Connes and Fack in a slightly more general situation." @default.
- W4288405912 created "2022-07-29" @default.
- W4288405912 creator A5071618080 @default.
- W4288405912 date "2019-03-27" @default.
- W4288405912 modified "2023-09-26" @default.
- W4288405912 title "Witten deformation using Lie groupoids" @default.
- W4288405912 doi "https://doi.org/10.48550/arxiv.1903.11583" @default.
- W4288405912 hasPublicationYear "2019" @default.
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