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http://arks.princeton.edu/ark:/88435/dsp01p2676v739Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor | Patakfalvi, Zsolt | - |
| dc.contributor.advisor | Kollar, Janos | - |
| dc.contributor.author | Murayama, Takumi | - |
| dc.date.accessioned | 2014-07-22T18:51:36Z | - |
| dc.date.available | 2014-07-22T18:51:36Z | - |
| dc.date.created | 2014-05-05 | - |
| dc.date.issued | 2014-07-22 | - |
| dc.identifier.uri | http://arks.princeton.edu/ark:/88435/dsp01p2676v739 | - |
| dc.description.abstract | We compare the behavior of fiber bundles with structure group 𝐺 for 𝐺 the general linear group GL, the projective general linear group PGL, and the general affine group GA. We prove a criterion for when a GA-bundle is in fact a GL-bundle, i.e., a vector bundle, over the Riemann sphere ℙ1. We also discuss the behavior of fiber bundles under different topologies; specifically, we compare the analytic versus Zariski topologies over the Riemann sphere ℙ1,and compare the étale and Zariski topologies on schemes in general. | en_US |
| dc.format.extent | 36 pages | en_US |
| dc.language.iso | en_US | en_US |
| dc.title | Fiber Bundles in Analytic, Zariski, and Etale Topologies | en_US |
| dc.type | Princeton University Senior Theses | - |
| pu.date.classyear | 2014 | en_US |
| pu.department | Mathematics | en_US |
| pu.pdf.coverpage | SeniorThesisCoverPage | - |
| Appears in Collections: | Mathematics, 1934-2020 | |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| Takumi Murayama thesis.pdf | 339.82 kB | Adobe PDF | Request a copy |
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