Lower K- and L-theory (London Mathematical Society Lecture Note Series, Series Number 178) - Softcover

Ranicki, Andrew

Softcover

ISBN 10: 0521438012 ISBN 13: 9780521438018

Publisher: Cambridge University Press, 1992

Synopsis

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.

About this title

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.

About this edition

• Publisher: Cambridge University Press
• Publication date: 1992
• ISBN 10: 0521438012
• ISBN 13: 9780521438018
• Binding: Paperback
• Edition number: 1
• Number of pages: 184