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- W2963272007 abstract "Inspired by the works of Forman on discrete Morse theory, which is a combinatorial adaptation to cell complexes of classical Morse theory on manifolds, we introduce a discrete analogue of the stratified Morse theory of Goresky and MacPherson. We describe the basics of this theory and prove fundamental theorems relating the topology of a general simplicial complex with the critical simplices of a discrete stratified Morse function on the complex. We also provide an algorithm that constructs a discrete stratified Morse function out of an arbitrary function defined on a finite simplicial complex; this is different from simply constructing a discrete Morse function on such a complex. We borrow Forman's idea of a user's guide, where we give simple examples to convey the utility of our theory." @default.
- W2963272007 created "2019-07-30" @default.
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- W2963272007 date "2018-01-01" @default.
- W2963272007 modified "2023-09-26" @default.
- W2963272007 title "Discrete Stratified Morse Theory: A User's Guide." @default.
- W2963272007 doi "https://doi.org/10.4230/lipics.socg.2018.54" @default.
- W2963272007 hasPublicationYear "2018" @default.
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