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Differential Forms in Algebraic Topology
Contents
This entry collects material related to the book
on applications of differential forms, or rather of de Rham cohomology, in algebraic topology.
Contents
1 The de Rham complex on $\mathbb{R}^n$
3 Orientation and integration
4 Pincaré lemma
6 The Thom isomorphism
10 Presheaves and Cech cohomology
11 Sphere bundles
13 Monodromy
14 The spectral sequence of a filtered complex
17 Review of homotopy theory
19 Rational homotopy theory
20 Chern Classes of a Complex Vector Bundle
21 The Splitting Principle and Flag manifolds
22 Pontrjagin classes
23 The Search for the Universal Principal Bundle
Last revised on August 31, 2020 at 05:29:57.
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