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A principal $G$-bundle, where $G$ denotes any topological group, is a fiber bundle $\pi :P → X$ together with a continuous right action $P × G → P$ such that $G$ preserves the fibers of $P$ and acts freely and transitively on them.

10 votes
1 answer
1k views

What does the moduli stack of G-torsors over the multiplicative group look like?

I am an algebraic topologist and am trying to understand some computations related to p-adic complex K-theory and equivariant K-theory. However this has led me into the world of algebraic geometry ove …
Chris Schommer-Pries's user avatar
20 votes
Accepted

For what topological groups $G$ can we take $EG \rightarrow BG$ to be of the form $S^{\infty...

I like to think of $EG$ and $BG$ in terms of configuration spaces. The space $BG$ can be identified with the following configuration space. It consists of configurations of finitely many points in the …
Chris Schommer-Pries's user avatar