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- W4226443092 abstract "We construct an equivariant version of discrete Morse theory for simplicial complexes endowed with group actions. The key ingredient is a 2-categorical criterion for making acyclic partial matchings on the quotient space compatible with an overlaid complex of groups. We use the discrete flow category of any such compatible matching to build the corresponding Morse complex of groups. Our main result establishes that the development of the Morse complex of groups recovers the original simplicial complex up to equivariant homotopy equivalence." @default.
- W4226443092 created "2022-05-05" @default.
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- W4226443092 date "2022-03-01" @default.
- W4226443092 modified "2023-09-29" @default.
- W4226443092 title "Morse Theory for Complexes of Groups" @default.
- W4226443092 doi "https://doi.org/10.48550/arxiv.2203.00539" @default.
- W4226443092 hasPublicationYear "2022" @default.
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