**Introduction to Characteritic Classes and Index Theory**

by Jean-Pierre Schneiders

**Publisher**: Universidade de Lisboa 2000**ISBN/ASIN**: 9728394128**Number of pages**: 236

**Description**:

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. The reader is assumed to have a good knowledge of homological algebra and topology.

Download or read it online for free here:

**Download link**

(1.1MB, PDF)

## Similar books

**The Geometry of Iterated Loop Spaces**

by

**J. P. May**-

**Springer**

A paper devoted to the study of iterated loop spaces. Our goal is to develop a simple and coherent theory which encompasses most of the known results about such spaces. We begin with some history and a description of the desiderata of such a theory.

(

**6941**views)

**An Elementary Illustrated Introduction to Simplicial Sets**

by

**Greg Friedman**-

**arXiv.org**

This is an introduction to simplicial sets and simplicial homotopy theory with a focus on the combinatorial aspects of the theory and their geometric/topological origins. Accessible to students familiar with the fundamentals of algebraic topology.

(

**4382**views)

**Topology Illustrated**

by

**Peter Saveliev**-

**Intelligent Perception**

The text follows the content of a fairly typical, two-semester, first course in topology. Some of the topics are: the shape of the universe, configuration spaces, digital image analysis, data analysis, social choice, and, of course, calculus.

(

**5820**views)

**The Homology of Iterated Loop Spaces**

by

**F. R. Cohen, T. J. Lada, P. J. May**-

**Springer**

A thorough treatment of homology operations and of their application to the calculation of the homologies of various spaces. The book studies an up to homotopy notion of an algebra over a monad and its role in the theory of iterated loop spaces.

(

**6332**views)