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Results tagged with fibre-bundles
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user 23571
for questions about fiber bundles, including structure groups, principal bundles, and spaces of sections.
8
votes
Accepted
Cup product of cohomology in a Serre spectral sequence
Maybe the simplest example is the following. There are two fiber bundles with base and fiber both $S^2$. One is the product $S^2\times S^2$ and the other consists of two copies of the mapping cylinder …
- 20k
8
votes
Reducible 3d torus bundles
OK, time to give some references for this classical material. Orientable 3-manifolds that are torus bundles are classified up to diffeomorphism by the conjugacy class of their monodromy map in SL(2,Z) …
- 20k