Introduction to Characteritic Classes and Index Theory
by Jean-Pierre Schneiders
Publisher: Universidade de Lisboa 2000
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.
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by Peter Petersen - UCLA
These notes are a supplement to a first year graduate course in manifold theory. These are the topics covered: Manifolds (Smooth Manifolds, Projective Space, Matrix Spaces); Basic Tensor Analysis; Basic Cohomology Theory; Characteristic Classes.
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