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An attack on the Kervaire invariant conjecture
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Weiss, Michael (1982) An attack on the Kervaire invariant conjecture. PhD thesis, University of Warwick.
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WRAP_THESIS_Weiss_1982.pdf - Submitted Version Download (4Mb) | Preview |
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 (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Topology | ||||
Official Date: | January 1982 | ||||
Dates: |
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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Publication Status: | Unpublished | ||||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 |
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