**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

**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.

(

**13734**views)

**Math That Makes You Go Wow**

by

**M. Boittin, E. Callahan, D. Goldberg, J. Remes**-

**Ohio State University**

This is an innovative project by a group of Yale undergraduates: A Multi-Disciplinary Exploration of Non-Orientable Surfaces. The course is designed to be included as a short segment in a late middle school or early high school math course.

(

**11139**views)

**Lectures on Polyhedral Topology**

by

**John R. Stallings**-

**Tata Institute of Fundamental Research**

These notes contain: The elementary theory of finite polyhedra in real vector spaces; A theory of 'general position' (approximation of maps), based on 'non-degeneracy'. A theory of 'regular neighbourhoods' in arbitrary polyhedra; etc.

(

**5459**views)

**E 'Infinite' Ring Spaces and E 'Infinite' Ring Spectra**

by

**J. P. May**-

**Springer**

The theme of this book is infinite loop space theory and its multiplicative elaboration. The main goal is a complete analysis of the relationship between the classifying spaces of geometric topology and the infinite loop spaces of algebraic K-theory.

(

**8334**views)