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Results tagged with dg.differential-geometry
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user 3696
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
4
votes
Accepted
Transition Functions of the Principal Bundle $SU(2) \to \mathbb{CP}^1$
You have two charts $U_0=\Bbb C$ and $U_\infty=(\Bbb C\setminus 0)\cup \infty$.
The transition function on the intersection $\Bbb C\setminus 0$ is $g(z)=z/|z|$.
- 3,929
5
votes
Principal Bundles over Complex Projective Varieties
You probably mean that you are interested in principal bundles on a projective variety $X$
with fiber being a compact Lie group $G$. If you are interested in the topological classification of such bun …
- 3,929