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5 votes
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References on principal $\mathbf{C}$-bundles, where $\mathbf{C}$ is a category?

Is there any treatment on principal "categorical" bundles - principal $\mathbf{C}$-bundles, where $\mathbf{C}$ is some (topological) category? I know that one can define "categorical covering spaces" …
Tanny Sieben's user avatar
2 votes
0 answers
68 views

Confusion about Turaev's description of G-bundles on the cylinder and pairs of pants

In Homotopy Field Theory in dimension 2 and group algebras, section 4.6, page 24, Turaev considers an annulus $C = S^1 \times [0,1]$ (thought of as a cobordism from $C_0 = S^1 \times \{ 0\}$ to $C_1 = …
Tanny Sieben's user avatar