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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 n\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

category: reference

Last revised on August 31, 2020 at 05:29:57. See the history of this page for a list of all contributions to it.