Morse theory from an algebraic viewpoint
View/ Open
Full Text
Date
2005-08-25Author
Sköldberg, Emil
Metadata
Show full item recordUsage
This item's downloads: 0 (view details)
Cited 41 times in Scopus (view citations)
Recommended Citation
Sköldberg, Emil (2005). Morse theory from an algebraic viewpoint. Transactions of the American Mathematical Society 358 (1), 115-129
Published Version
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.