**Lower K- and L-theory**

by Andrew Ranicki

**Publisher**: Cambridge University Press 2001**ISBN/ASIN**: 0521438012**ISBN-13**: 9780521438018**Number of pages**: 177

**Description**:

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.

Download or read it online for free here:

**Download link**

(1.1MB, PDF)

## Similar books

**Diffeomorphisms of Elliptic 3-Manifolds**

by

**S. Hong, J. Kalliongis, D. McCullough, J. H. Rubinstein**-

**arXiv**

The elliptic 3-manifolds are the closed 3-manifolds that admit a Riemannian metric of constant positive curvature. For any elliptic 3-manifold M, the inclusion from the isometry group of M to the diffeomorphism group of M is a homotopy equivalence.

(

**4692**views)

**Ends of Complexes**

by

**Bruce Hughes, Andrew Ranicki**-

**Cambridge University Press**

The book gathers together the main strands of the theory of ends of manifolds from the last thirty years and presents a unified and coherent treatment of them. It also contains authoritative expositions of mapping tori and telescopes.

(

**4971**views)

**The Geometry and Topology of Three-Manifolds**

by

**William P Thurston**-

**Mathematical Sciences Research Institute**

The text describes the connection between geometry and lowdimensional topology, it is useful to graduate students and mathematicians working in related fields, particularly 3-manifolds and Kleinian groups. Much of the material or technique is new.

(

**12886**views)

**A Primer on Mapping Class Groups**

by

**Benson Farb, Dan Margalit**-

**Princeton University Press**

Our goal in this book is to explain as many important theorems, examples, and techniques as possible, as quickly and directly as possible, while at the same time giving (nearly) full details and keeping the text (nearly) selfcontained.

(

**6599**views)