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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

1 vote

Reference for some elementary facts about principal bundles

I would recommend the beautifully written book Differential Geometry : Connections, Curvature, and Characteristic classes by Loring Tu.
Ishan Mata's user avatar
5 votes
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Differentials in Weil model for equivariant cohomology

Suppose $E \to B $ is a principal $G$-bundle with connection $\omega \in \Omega^1(E,\mathfrak{g})$, and corresponding curvature $\Omega \in \Omega^2(E,\mathfrak{g})$. Then $\Omega^*(E)$ is a different …
Ishan Mata's user avatar