Metastable Complex Vector Bundles over Complex Projective Spaces

dc.contributor.advisorSinha, Dev
dc.contributor.authorHu, Yang
dc.date.accessioned2024-01-09T22:45:15Z
dc.date.available2024-01-09T22:45:15Z
dc.date.issued2024-01-09
dc.description.abstractIn the unstable range, topological vector bundles over finite CW complexes are difficult to classify in general. Over complex projective spaces \mathbb{C}P^n, such bundles are far from being fully classified, or even enumerated, except for a few small dimensional cases studied in the 1970's using classical tools from homotopy theory, and more recently using the modern tool of chromatic homotopy theory. We apply another modern tool, Weiss calculus, to enumerate topological complex vector bundles over \mathbb{C}P^n with trivial Chern class data, in the first two cases of the metastable range.en_US
dc.identifier.urihttps://hdl.handle.net/1794/29157
dc.language.isoen_US
dc.publisherUniversity of Oregon
dc.rightsAll Rights Reserved.
dc.titleMetastable Complex Vector Bundles over Complex Projective Spaces
dc.typeElectronic Thesis or Dissertation
thesis.degree.disciplineDepartment of Mathematics
thesis.degree.grantorUniversity of Oregon
thesis.degree.leveldoctoral
thesis.degree.namePh.D.

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