**scl**

by Danny Calegari

**Publisher**: Mathematical Society of Japan 2009**ISBN/ASIN**: 4931469531**ISBN-13**: 9784931469532**Number of pages**: 218

**Description**:

This book 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, and many other subjects.

Download or read it online for free here:

**Download link**

(1.8MB, PDF)

## Similar books

**Modern Algebraic Topology**

by

**D. G. Bourgin**-

**Macmillan**

Contents: Preliminary algebraic background; Chain relationships; The absolute homology groups and basic examples; Relative omology modules; Manifolds and fixed cells; Omology exact sequences; Simplicial methods and inverse and direct limits; etc.

(

**2347**views)

**Prerequisites in Algebraic Topology**

by

**Bjorn Ian Dundas**-

**NTNU**

This is not an introductory textbook in algebraic topology, these notes attempt to give an overview of the parts of algebraic topology, and in particular homotopy theory, which are needed in order to appreciate that side of motivic homotopy theory.

(

**5708**views)

**Introduction to Characteritic Classes and Index Theory**

by

**Jean-Pierre Schneiders**-

**Universidade de Lisboa**

This text deals with characteristic classes of real and complex vector bundles and Hirzebruch-Riemann-Roch formula. We will present a few basic but fundamental facts which should help the reader to gain a good idea of the mathematics involved.

(

**5105**views)

**Topics in topology: The signature theorem and some of its applications**

by

**Liviu I. Nicolaescu**-

**University of Notre Dame**

The author discusses several exciting topological developments which radically changed the way we think about many issues. Topics covered: Poincare duality, Thom isomorphism, Euler, Chern and Pontryagin classes, cobordisms groups, signature formula.

(

**5086**views)