Weiss, Michael (1982) An attack on the Kervaire invariant conjecture. PhD thesis, University of Warwick.

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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)
Subjects:	Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH):	Topology
Official Date:	January 1982
Dates:	Date Event January 1982 Submitted
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Publication Status:	Unpublished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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