The RO(G)-graded Serre Spectral Sequence
| dc.contributor.author | Kronholm, William C., 1980- | |
| dc.date.accessioned | 2009-01-13T00:36:10Z | |
| dc.date.available | 2009-01-13T00:36:10Z | |
| dc.date.issued | 2008-06 | |
| 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.identifier.uri | https://hdl.handle.net/1794/8284 | |
| 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; | |
| 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 |
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