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Vector Bundles K Theory

By Hatcher, Allen

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Book Id: WPLBN0003761919
Format Type: PDF eBook :
File Size:
Reproduction Date: 2015

Title: Vector Bundles K Theory  
Author: Hatcher, Allen
Language: English
Subject: Programming, Mathematics, Topology
Collections: Technical Books Center
Publication Date:
Publisher: Technical Books Center


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Hatcher, A. (2009). Vector Bundles K Theory. Retrieved from

Description: This note covers the following topics: Vector Bundles, Classifying Vector Bundles, Bott Periodicity, K Theory, Characteristic Classes, Stiefel-Whitney and Chern Classes, Euler and Pontryagin Classes, The J Homomorphism.

Table of Contents
TOC : Vector Bundles - Basic Definitions and Constructions - Classifying Vector Bundles - K–Theory - The Functor K(X) - Bott Periodicity - Division Algebras and Parallelizable Spheres - Bott Periodicity in the Real Case - Vector Fields on Spheres - Characteristic Classes - Stiefel-Whitney and Chern Classes - Euler and Pontryagin Classes - The J–Homomorphism - Lower Bounds on Im J - Upper Bounds on Im J.


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