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An attack on the Kervaire invariant conjecture
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Weiss, Michael, 1955- (1982) An attack on the Kervaire invariant conjecture. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b1754578~S1
Abstract
The present thesis developed in three stages, each associated with a particular problem. The problems are, in 'historical' order: (1) (The Kervaire invariant problem): Find out for which positive integers k the Kervaire invariant Φ:πs2k -> z2 is onto. (2) Given a fibration f:B -> BO, with associated Thom spectrum M(B, f) [STONG], is there any useful connection between the surgery obstruction group L2k(π1(B), π1(f)) on one hand and the bordism group π2k(M(B,f)) on the other? (3) Construct a general theory of signature invariants which will please the handlebody theorist. Of course (2) and (3) are just means of escaping from (1).
| Item Type: | Thesis or Dissertation (PhD) |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Library of Congress Subject Headings (LCSH): | Topology |
| Date: | January 1982 |
| Institution: | University of Warwick |
| Theses Department: | Mathematics Institute |
| Thesis Type: | PhD |
| Publication Status: | Unpublished |
| Supervisor(s)/Advisor: | Sanderson, B. J. (Brian Joseph), 1939- |
| Extent: | [121] p. |
| Language: | eng |
| URI: | http://wrap.warwick.ac.uk/id/eprint/51301 |
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