Characteristic ClassesThe theory of characteristic classes began in the year 1935 with almost simultaneous work by Hassler Whitney in the United States and Eduard Stiefel in Switzerland. Stiefel's thesis, written under the direction of Heinz Hopf, introduced and studied certain 'characteristic' homology classes determined by the tangent bundle of a smooth manifold. 
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Review: Characteristic Classes. (AM76)
User Review  Jon Paprocki  GoodreadsFantastically written! In addition to teaching me many new topics, my understanding of ideas that I thought I had achieved level 3 knowledge of, such as the CW complex, were improved by this book ... Read full review
Review: Characteristic Classes. (AM76)
User Review  Jamie  GoodreadsI just didn't get it. Maybe I didn't invest myself into it enough. Davis and Kirk say that every mathematician should read this book. Whatever (ie I disagree). Read full review
Contents
Preface 1 Smooth Manifolds  3 
2 Vector Bundles  13 
3 Constructing New Vector Bundles Out of Old  25 
4 StiefelWhitney Classes  37 
5 Grassmann Manifolds and Universal Bundles  55 
6 A Cell Structure for Grassmann Manifolds  73 
7 The Cohomology Ring HGn Z2  83 
8 Existence of StiefelWhitney Classes  89 
15 Pontrjagin Classes  173 
16 Chern Numbers and Pontrjagin Numbers  183 
17 The Oriented Cobordism Ring fl  199 
18 Thom Spaces and Transversality  205 
19 Multiplicative Sequences and the Signature Theorem  219 
20 Combinatorial Pontrjagin Classes  231 
Epilogue  249 
Singular Homology and Cohomology  257 
9 Oriented Bundles and the Euler Class  95 
10 The Thom Isomorphism Theorem  105 
11 Computations in a Smooth Manifold  115 
12 Obstructions  139 
13 Complex Vector Bundles and Complex Manifolds  149 
14 Chern Classes  155 
Common terms and phrases
References to this book
References from web pages
Characteristic class  Wikipedia, the free encyclopedia
In other words, characteristic classes are global invariants which measure the deviation of a .... Informally, characteristic classes "live" in cohomology. ...
en.wikipedia.org/ wiki/ Characteristic_class
More characteristic classes for spherical fibre spaces
More Characteristic Classes for Spherical Fibre Spaces. 79. 1. Milnor's machine. Our method of attack is to use Milnor's approach as much as possible, ...
www.springerlink.com/ index/ W2002RU8031G1082.pdf
Computing characteristic classes of projective schemes
From Chern classes to Milnor classesa history of characteristic classes for singular varieties. In: SingularifiesSapporo 1998. Kinokuniya, Tokyo, pp. ...
portal.acm.org/ citation.cfm?id=773052
CHARACTERISTIC CLASSESOLD AND NEW 1. Definition of sphere bundles ...
Some examples of applications of characteristic classes. The. study of characteristic classes has been very useful in differential ...
projecteuclid.org/ DPubS/ Repository/ 1.0/ Disseminate?handle=euclid.bams/ 1183530796&
JSTOR: Characteristic Classes for Complex Bundles with Trivial ...
This note concerns itself with a theory of characteristic classes for those complex bundles whose real reductions are trivial. 1 For a topological space X ...
links.jstor.org/ sici?sici=00029939(200008)128%3A8%3C2465%3ACCFCBW%3E2.0.CO%3B2H
School on characteristic classes
PROGRAM: There will be two minicourses on various aspects of characteristic classes for singular varieties by invited speakers. These courses will be rather ...
www.mimuw.edu.pl/ ~aweber/ classes.html
CHARACTERISTIC CLASSES OF HYPERSURFACES AND CHARACTERISTIC CYCLES ...
CHARACTERISTIC CLASSES OF HYPERSURFACES. AND CHARACTERISTIC CYCLES ... CHARACTERISTIC CLASSES OF HYPERSURFACES. After Y1,2,3] (see also blss]), ...
math.univangers.fr/ ~parus/ Math/ 51.pdf
Characteristic Classes Of Discriminants And Enumerative Geometry ...
We compute the Euler obstruction and Mather s Chern class of the discriminant hypersurface of a very ample linear system on a nonsingular variety
citeseer.ist.psu.edu/ alu98characteristic.html
COMPUTING CHARACTERISTIC CLASSES OF PROJECTIVE SCHEMES 1. Introduction
application to characteristic classes yields the Fulton class c ...... Characteristic classes of discriminants and enumerative geometry. Comm. ...
www.math.fsu.edu/ ~aluffi/ archive/ paper173.pdf
Singularity cycles and characteristic classes in cobordism
In the present paper we construct some new characteristic classes in complex cobordism .... characteristic classes corresponds to the Chern class c ...
www.iop.org/ EJ/ article/ 00360279/ 62/ 5/ L13/ RMS_62_5_L13.pdf