I do not recall well, but connections are sections of a suitable bundle, right? I have to eventually learn this but eh, seems too tedious. Do I need to take an entire class to really know it?
You might be thinking of a [connection of an affine bundle](https://en.wikipedia.org/wiki/Connection_(affine_bundle). You could learn it through classes (math grad programs usually have a sequence including general topology, differential topology/smooth manifolds, and differential geometry) or just read some books to get the parts you need to know.
I do not recall well, but connections are sections of a suitable bundle, right? I have to eventually learn this but eh, seems too tedious. Do I need to take an entire class to really know it?
You might be thinking of a [connection of an affine bundle](https://en.wikipedia.org/wiki/Connection_(affine_bundle). You could learn it through classes (math grad programs usually have a sequence including general topology, differential topology/smooth manifolds, and differential geometry) or just read some books to get the parts you need to know.
You lost a bracket in your link