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Download Lower K-and L-Theory

Lower K-and L-Theory




Author: Andrew Ranicki
Type: eBook
Date Released: 1992
Format: pdf
Language: English
Page Count: 177
Isbn10 Code: 0521438012
Isbn13 Code: 9780521438018


This is the first treatment in book form of the applications of the lower K- and L-groups (which are the components of the Grothendieck groups of modules and quadratic forms over polynomial extension rings) to the topology of manifolds such as Euclidean spaces, via Whitehead torsion and the Wall finiteness and surgery obstructions. The author uses only elementary constructions and gives a full algebraic account of the groups involved; of particular note is an algebraic treatment of geometric transversality for maps to the circle. Book Description A first book on the applications of the lower K- and L-groups (which are the components of the Grothendieck groups of modules and quadratic forms over polynomial extension rings) to the topology of manifolds such as Euclidean spaces, via Whitehead torsion and the Wall finiteness and surgery obstructions.

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