The 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. (AM-76)User Review - Jon Paprocki - Goodreads
Fantastically 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. (AM-76)User Review - Jamie - Goodreads
I 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
Preface 1 Smooth Manifolds
2 Vector Bundles
3 Constructing New Vector Bundles Out of Old
4 StiefelWhitney Classes
5 Grassmann Manifolds and Universal Bundles
6 A Cell Structure for Grassmann Manifolds
7 The Cohomology Ring HGn Z2
8 Existence of StiefelWhitney Classes
15 Pontrjagin Classes
16 Chern Numbers and Pontrjagin Numbers
17 The Oriented Cobordism Ring fl
18 Thom Spaces and Transversality
19 Multiplicative Sequences and the Signature Theorem
20 Combinatorial Pontrjagin Classes
Singular Homology and Cohomology
9 Oriented Bundles and the Euler Class
10 The Thom Isomorphism Theorem
11 Computations in a Smooth Manifold
13 Complex Vector Bundles and Complex Manifolds
14 Chern Classes
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 classes--a history of characteristic classes for singular varieties. In: Singularifies--Sapporo 1998. Kinokuniya, Tokyo, pp. ...
CHARACTERISTIC CLASSES-OLD 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 ...
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.univ-angers.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
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/ 0036-0279/ 62/ 5/ L13/ RMS_62_5_L13.pdf