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Results tagged with line-bundles
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user 11885
A continuously varying family of one-dimensional vector spaces over a topological space. A related tag is the vector-bundles tag.
1
vote
Accepted
Unicity of a vector field on $S^1$-bundle
Let $(M,\omega)$ be a symplectic manifold. The first idea behind geometric quantization is that there exists a $S^1$-principal fiber bundle $\pi : Y \to M$, equipped with a connection $\lambda$ with c …
- 2,289
1
vote
Accepted
An isomorphism on space of smooth sections
I want first to fix a confusion at the level of the two bundles involved in this construction. My way(*) is to consider, first of all, a $S^1$-bundle over a symplectic manifold $(M,\omega)$, with curv …
- 2,289