An attack on the Kervaire invariant conjecture
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
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|
|Institution:||University of Warwick|
|Theses Department:||Mathematics Institute|
|Supervisor(s)/Advisor:||Sanderson, B. J. (Brian Joseph), 1939-|
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