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 Adams-Novikov Spectral Sequence and the Homotopy Groups of Spheresby Paul Goerss - Northwestern University
Contents: The Adams spectral sequence; Classical calculations; The Adams-Novikov Spectral Sequence; Complex oriented homology theories; The height filtration; The chromatic decomposition; Change of rings; The Morava stabilizer group.
(11639 views)
Differential Forms and Cohomology: Courseby 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.
(8431 views)
Equivariant Stable Homotopy Theoryby G. Jr. Lewis, J. P. May, M. Steinberger, J. E. McClure - Springer
Our purpose is to establish the foundations of equivariant stable homotopy theory. We shall construct a stable homotopy category of G-spectra,and use it to study equivariant duality, equivariant transfer, the Burnside ring, and related topics.
(14084 views)
Topology Illustratedby 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.
(11988 views)