dc.contributor.author |
Kronholm, William C., 1980- |
|
dc.date.accessioned |
2009-01-13T00:36:10Z |
|
dc.date.available |
2009-01-13T00:36:10Z |
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dc.date.issued |
2008-06 |
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dc.identifier.uri |
http://hdl.handle.net/1794/8284 |
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dc.description |
x, 72 p. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number. |
en |
dc.description.abstract |
The theory of equivariant homology and cohomology was first created by Bredon in his 1967 paper and has since been developed and generalized by May, Lewis, Costenoble, and a host of others. However, there has been a notable lack of computations done. In this paper, a version of the Serre spectral sequence of a fibration is developed for RO ( G )-graded equivariant cohomology of G -spaces for finite groups G . This spectral sequence is then used to compute cohomology of projective bundles and certain loop spaces.
In addition, the cohomology of Rep( G )-complexes, with appropriate coefficients, is shown to always be free. As an application, the cohomology of real projective spaces and some Grassmann manifolds are computed, with an eye towards developing a theory of equivariant characteristic classes. |
en |
dc.description.sponsorship |
Adviser: Daniel Dugger |
en |
dc.language.iso |
en_US |
en |
dc.publisher |
University of Oregon |
en |
dc.relation.ispartofseries |
University of Oregon theses, Dept. of Mathematics, Ph. D., 2008; |
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dc.subject |
Algebraic topology |
en |
dc.subject |
Equivariant topology |
en |
dc.subject |
Spectral sequence |
en |
dc.subject |
Serre spectral sequence |
en |
dc.subject |
Mathematics |
en |
dc.title |
The RO(G)-graded Serre Spectral Sequence |
en |
dc.type |
Thesis |
en |