Timeline for On different definitions of a prequantization space
Current License: CC BY-SA 4.0
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| when toggle format | what | by | license | comment | |
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| Dec 28, 2018 at 12:59 | comment | added | Tobias Diez | Have a look at Woodhouse: Geometric Quantization. | |
| Dec 28, 2018 at 11:41 | comment | added | Denis Nardin | For (1), it's probably related to the fact that (isoclasses of) principal $S^1$-bundles are the same thing as line bundles and the same thing as classes in $H^2(M;\mathbb{Z})$ (since $BS^1\cong BO_1\cong K(\mathbb{Z},2)$), and deRham class of the curvature of a connection is exactly the image of the integral class in $H^2(M;\mathbb{R})$. This is standard material, treated for example in Milnor and Stasheff's book on characteristic classes. | |
| Dec 28, 2018 at 11:32 | history | asked | BrianT | CC BY-SA 4.0 |