Morse theory in the 1990's

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dc.creatorGuest, Martin
dc.date2001-04-15
dc.date.accessioned2026-07-07T04:41:19Z
dc.date.available2026-07-07T04:41:19Z
dc.descriptionThis is a survey article on Morse theory based on lectures to graduate students and advanced undergraduates. After a brief review of standard material, mostly without proofs, the Morse theory of complex Grassmannian manifolds is worked out in detail. In contrast to standard treatments, gradient flow lines and their structure are emphasized. This leads to a convenient interpretation of Schubert calculus via the momentum map of a torus action, and, more generally, to a still-unfolding toric/combinatoric manifestation of Morse theory. The latter provides a miniature version of the "field-theoretic point of view" of Cohen-Jones-Segal, Betz-Cohen, and Fukaya.
dc.descriptionAMS-TeX, 73 pages
dc.identifierhttps://arxiv.org/abs/math/0104155
dc.identifierhttp://arxiv.org/abs/math/0104155
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61310
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.titleMorse theory in the 1990's
dc.typetext

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