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- W2983805230 abstract "We study Morse theory on noncompact manifolds equipped with exhaustions by compact pieces, defining the Morse homology of a pair which consists of the manifold and related geometric/homotopy data. We construct a collection of Morse data parametrized by cubes of arbitrary dimensions. From this collection, we obtain a family of linear maps subject to some coherency conditions, which can be packaged into a homotopy coherent diagram. We introduce a chain complex which is a colimit for the diagram and show that it computes the Morse homology." @default.
- W2983805230 created "2019-11-22" @default.
- W2983805230 creator A5057610183 @default.
- W2983805230 date "2019-11-10" @default.
- W2983805230 modified "2023-09-27" @default.
- W2983805230 title "Morse theory with homotopy coherent diagrams" @default.
- W2983805230 cites W1533280163 @default.
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- W2983805230 doi "https://doi.org/10.48550/arxiv.1911.04075" @default.
- W2983805230 hasPublicationYear "2019" @default.
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