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Results tagged with higher-category-theory
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user 118688
For questions involving one or more categorical dimensions, or involving homotopy coherent categorical structures.
3
votes
1
answer
342
views
Is the notion of a 2-category introduced to fix/forget the size issues in the definition of ...
A category $\mathcal{C}$ consists of pair of classes $(\mathcal{C}_0, \mathcal{C}_1)$, along with maps $$\mathcal{C}_1\times_{\mathcal{C}_0}\mathcal{C}_1\rightarrow
\mathcal{C}_1\rightrightarrows \mat …
- 6,023
1
vote
Connections on principal bundles via stacks?
I am not sure if this has to be an answer or a comment. I will change it to comment if needed.
Please see section $6$ of Parallel Transport on Principal Bundles over Stacks
.
Given a Lie group $G$, …
- 6,023
9
votes
Understanding the definition of stacks
What categories fibered in groupoids over $\mathcal{C}$ corresponds to stacks?
A category fibered in groupoids over $\mathcal{C}$ is given by a functor $p_{\mathcal{F}}:\mathcal{F}\rightarrow \ma …
- 6,023
2
votes
1
answer
229
views
references to learn the general theory Lie $\infty$-groupoids and Lie $\infty$-algebroids
Kirill Mackenzie has a book on the general theory of Lie groupoids and Lie algebroids.
Is there such a reference for the general theory of Lie $\infty$-groupoids and Lie $\infty$-algebroids; that cove …
- 6,023
1
vote
Why the third stage of Cech nerve a Lie 2-groupoid?
This is not an answer, just too long for a comment (could be slightly misleading). This is precisely what Dimitri Pavlov has mentioned in his comment.
In general, the description of $2$-category $\mat …
- 6,023