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Results tagged with fibre-bundles
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user 120604
for questions about fiber bundles, including structure groups, principal bundles, and spaces of sections.
4
votes
0
answers
853
views
When is the Chern class of a principal $G$-bundle same to the Chern class of the associated ...
Let $P\rightarrow M$ be a principal bundle, with structure group $G$. If $G$ has a representation $\rho:G\rightarrow GL(n,\mathbb{C})$, then we can define its associated vector bundle $E=P\times_{\rho …
- 615
5
votes
1
answer
264
views
The existence of the extension of a non-trivial line bundle
In Three Dimensional Gravity Revisted, Witten studied the Abelian Chern-Simons theory in three dimensions.
Let $W$ be a three dimensional manifold. Let $\mathcal{L}$ be a non-trivial line-bundle over …
- 615