[rho]-compact groups as framed manifolds
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2002.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2005
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| Online Access: | http://hdl.handle.net/1721.1/8401 |
| _version_ | 1826215455303401472 |
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| author | Bauer, Tilman, 1973- |
| author2 | Michael J. Hopkins. |
| author_facet | Michael J. Hopkins. Bauer, Tilman, 1973- |
| author_sort | Bauer, Tilman, 1973- |
| collection | MIT |
| description | Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2002. |
| first_indexed | 2024-09-23T16:29:45Z |
| format | Thesis |
| id | mit-1721.1/8401 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T16:29:45Z |
| publishDate | 2005 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/84012019-04-12T09:15:49Z [rho]-compact groups as framed manifolds Bauer, Tilman, 1973- Michael J. Hopkins. Massachusetts Institute of Technology. Dept. of Mathematics. Massachusetts Institute of Technology. Dept. of Mathematics. Mathematics. Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2002. In title on t.p. "[rho]" appears as the lower-case Greek letter. Includes bibliographical references (p. 57-59). We describe a natural way to associate to any [rho]-compact group an element of the [rho]-local stable stems, which, applied to the [rho]-completion of a compact Lie group G, coincides with the element represented by the manifold G with its left-invariant framing. To this end, we construct a d-dimensional sphere SG with a stable G-action for every d-dimensional [rho]-compact group G, which generalizes the one-point compactification of the Lie algebra of a Lie group. The homotopy class represented by G is then constructed by means of a transfer map between the Thom spaces of spherical fibrations over BG associated with SG. by Tilman Bauer. Ph.D. 2005-08-23T19:54:09Z 2005-08-23T19:54:09Z 2002 2002 Thesis http://hdl.handle.net/1721.1/8401 50595073 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 59 p. 2652696 bytes 2652459 bytes application/pdf application/pdf application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mathematics. Bauer, Tilman, 1973- [rho]-compact groups as framed manifolds |
| title | [rho]-compact groups as framed manifolds |
| title_full | [rho]-compact groups as framed manifolds |
| title_fullStr | [rho]-compact groups as framed manifolds |
| title_full_unstemmed | [rho]-compact groups as framed manifolds |
| title_short | [rho]-compact groups as framed manifolds |
| title_sort | rho compact groups as framed manifolds |
| topic | Mathematics. |
| url | http://hdl.handle.net/1721.1/8401 |
| work_keys_str_mv | AT bauertilman1973 rhocompactgroupsasframedmanifolds |