Introduction to Characteritic Classes and Index Theory

Introduction to Characteritic Classes and Index Theory

Introduction to Characteritic Classes and Index Theory
by Jean-Pierre Schneiders

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

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.

Home page url

Download or read it online here:
Download link
(1.1MB, PDF)

Similar books

Topology Lecture NotesTopology Lecture Notes
by Thomas Ward - UEA
Contents: Topological and Metric Spaces, Homotopy Exquivalence, Fundamental Groups, Covering Spaces and Applications, Classification of Surfaces, Simplicial Complexes and Homology Groups, Homology Calculations, Simplicial Approximation, etc.
Topological Groups: Yesterday, Today, TomorrowTopological Groups: Yesterday, Today, Tomorrow
by Sidney A. Morris (ed.) - MDPI AG
The aim of this book is to describe significant topics in topological group theory in the early 21st century as well as providing some guidance to the future directions topological group theory might take by including some interesting open questions.
Differential Forms and Cohomology: CourseDifferential Forms and Cohomology: Course
by Peter Saveliev - Intelligent Perception
Differential forms provide a modern view of calculus. They also give you a start with algebraic topology in the sense that one can extract topological information about a manifold from its space of differential forms. It is called cohomology.
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.