Morse theory from an algebraic viewpoint

dc.contributor.author	Sköldberg, Emil
dc.date.accessioned	2018-08-24T08:26:25Z
dc.date.available	2018-08-24T08:26:25Z
dc.date.issued	2005-08-25
dc.identifier.citation	Sköldberg, Emil (2005). Morse theory from an algebraic viewpoint. Transactions of the American Mathematical Society 358 (1), 115-129
dc.identifier.issn	0002-9947,1088-6850
dc.identifier.uri	http://hdl.handle.net/10379/9885
dc.description.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.
dc.publisher	American Mathematical Society (AMS)
dc.relation.ispartof	Transactions of the American Mathematical Society
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Ireland
dc.rights.uri	https://creativecommons.org/licenses/by-nc-nd/3.0/ie/
dc.subject	complexes
dc.subject	graphs
dc.title	Morse theory from an algebraic viewpoint
dc.type	Article
dc.identifier.doi	10.1090/s0002-9947-05-04079-1
dc.local.publishedsource	http://www.ams.org/tran/2006-358-01/S0002-9947-05-04079-1/S0002-9947-05-04079-1.pdf
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