**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

**CDBooK: Introduction to Vassiliev Knot invariants**

by

**S.Chmutov, S.Duzhin, J.Mostovoy**-

**Ohio State Universit**

An introduction to the theory of finite type (Vassiliev) knot invariants, with a stress on its combinatorial aspects. Written for readers with no background in this area, and we care more about the basic notions than about more advanced material.

(

**6306**views)

**Algebraic L-theory and Topological Manifolds**

by

**A. A. Ranicki**-

**Cambridge University Press**

Assuming no previous acquaintance with surgery theory and justifying all the algebraic concepts used by their relevance to topology, Dr Ranicki explains the applications of quadratic forms to the classification of topological manifolds.

(

**4527**views)

**A Geometric Approach to Differential Forms**

by

**David Bachman**-

**arXiv**

This is a textbook on differential forms. The primary target audience is sophomore level undergraduates enrolled in a course in vector calculus. Later chapters will be of interest to advanced undergraduate and beginning graduate students.

(

**8709**views)

**Notes on String Topology**

by

**Ralph L. Cohen, Alexander A. Voronov**-

**arXiv**

This paper is an exposition of the new subject of String Topology. We present an introduction to this exciting new area, as well as a survey of some of the latest developments, and our views about future directions of research.

(

**6007**views)