**An Introduction to Algebraic Surgery**

by Andrew Ranicki

**Publisher**: arXiv 2000**Number of pages**: 82

**Description**:

Browder-Novikov-Sullivan-Wall surgery theory investigates the homotopy types of manifolds, using a combination of algebra and topology. It is the aim of these notes to provide an introduction to the more algebraic aspects of the theory (such as the Wall surgery obstruction groups), without losing sight of the geometric motivation.

Download or read it online for free here:

**Download link**

(550KB, PDF)

## Similar books

**H Ring Spectra and Their Applications**

by

**R. R. Bruner, J. P. May, J. E. McClure, M. Steinberger**-

**Springer**

This volume concerns spectra with enriched multiplicative structure. It is a truism that interesting cohomology theories are represented by ring spectra, the product on the spectrum giving rise to the cup products in the theory.

(

**5253**views)

**scl**

by

**Danny Calegari**-

**Mathematical Society of Japan**

This is a comprehensive introduction to the theory of stable commutator length, an important subfield of quantitative topology, with substantial connections to 2-manifolds, dynamics, geometric group theory, bounded cohomology, symplectic topology.

(

**5317**views)

**Lecture Notes on Motivic Cohomology**

by

**Carlo Mazza, Vladimir Voevodsky, Charles Weibel**-

**AMS**

This book provides an account of the triangulated theory of motives. Its purpose is to introduce Motivic Cohomology, to develop its main properties, and finally to relate it to other known invariants of algebraic varieties and rings.

(

**5167**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.

(

**7351**views)