All Questions
Tagged with quantization sg.symplectic-geometry
3 questions
34
votes
5
answers
9k
views
How to see the Phase Space of a Physical System as the Cotangent Bundle
Two things today motivated this question.
First, the professor said that in a lecture Thurston mentioned
Any manifold can be seen as the configuration space of some physical system.
Clearly we ...
- 4,842
11
votes
2
answers
795
views
What are the implications of torsion in H^2 for geometric quantization?
Given a real manifold $M$ with symplectic $2$-form $\omega$,
one can ask whether the cohomology class $[\omega] \in H^2(M;{\mathbb R})$ lies in the image of
$H^2(M;{\mathbb Z})$. If so, one can ask ...
- 27.9k
1
vote
0
answers
662
views
On prequantization bundles over integral symplectic manifolds
I am trying to clarify certain subtleties regarding prequantization bundles over symplectic manifolds, for which I haven't found any clear explanation so far.
Let me fix some definitions first.
...
- 1,227