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Morse theory from an algebraic viewpoint

Sköldberg, Emil
Identifiers
http://hdl.handle.net/10379/9885
 https://doi.org/10.13025/23922
Publication Date
2005-08-25
Keywords
complexes, graphs
Type
Article
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Citation
Sköldberg, Emil (2005). Morse theory from an algebraic viewpoint. Transactions of the American Mathematical Society 358 (1), 115-129
Abstract
Forman's discrete Morse theory is studied from an algebraic viewpoint, and we show how this theory can be extended to chain complexes of modules over arbitrary rings. As applications we compute the homologies of a certain family of nilpotent Lie algebras, and show how the algebraic Morse theory can be used to derive the classical Anick resolution as well as a new two-sided Anick resolution.
Funder
Publisher
American Mathematical Society (AMS)
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Rights
Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (1)