Logo

Introduction to Characteritic Classes and Index Theory

Small book cover: Introduction to Characteritic Classes and Index Theory

Introduction to Characteritic Classes and Index Theory
by

Publisher: Universidade de Lisboa
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.

Home page url

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

Similar books

Book cover: A Concise Course in Algebraic TopologyA Concise Course in Algebraic Topology
by - University Of Chicago Press
This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics. Most chapters end with problems that further explore and refine the concepts presented.
(16101 views)
Book cover: Notes on the course Algebraic TopologyNotes on the course Algebraic Topology
by - University of Oregon
Contents: Important examples of topological spaces; Constructions; Homotopy and homotopy equivalence; CW-complexes and homotopy; Fundamental group; Covering spaces; Higher homotopy groups; Fiber bundles; Suspension Theorem and Whitehead product; etc.
(7822 views)
Book cover: Differential Forms and Cohomology: CourseDifferential Forms and Cohomology: Course
by - 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.
(5906 views)
Book cover: A Topology PrimerA Topology Primer
by - Technische Universit├Ąt Kaiserslautern
The purpose of this text is to make familiar with the basics of topology, to give a concise introduction to homotopy, and to make students familiar with homology. Readers are expected to have knowledge of analysis and linear algebra.
(10331 views)