Lower K- and L-Theory
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Lower K- and L-Theory by Andrew Ranicki
Book DescriptionThis is the first unified treatment in book form of the lower K-groups of Bass and the lower L-groups of the author. These groups arise as the Grothendieck groups of modules and quadratic forms which are components of the K- and L-groups of polynomial extensions. They are important in the topology of non-compact manifolds such as Euclidean spaces, being the value groups for Whitehead torsion, the Siebemann end obstruction and the Wall finiteness and surgery obstructions. Some of the applications to topology are included, such as the obstruction theories for splitting homotopy equivalences and for fibering compact manifolds over the circle. Only elementary algebraic constructions are used, which are always motivated by topology. The material is accessible to a wide mathematical audience, especially graduate students and research workers in topology and algebra.
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Book DetailsISBN: 9780521438018
(228mm x 152mm x 11mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 21-May-1992
Country of Publication: United Kingdom
Books By Author Andrew Ranicki
Ends of Complexes, Paperback (January 2008)
A systematic exposition of the theory and practice of ends of manifolds and CW complexes, not previously available.
Noncommutative Localization in Algebra and Topology, Paperback (February 2006)
An introduction to noncommutative localization and an account of the state of the art suitable for researchers and graduate students.
Algebraic and Geometric Surgery, Hardback (September 2002)
This book provides an introduction to surgery theory; the standard classification method for high dimension manifolds.
Surveys on Surgery Theory, Paperback (January 2001)» View all books by Andrew Ranicki
Surgery theory is the basis for the classification theory of manifolds. This title reflects on the accomplishments of surgery theory as well as its varied interactions with algebra, analysis, and geometry. It covers the topics that include applications of surgery, Wall's finiteness obstruction, algebraic surgery, and surgery in dimension four.
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