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Dec 19, 2015 at 19:54 comment added Qiaochu Yuan @მამუკა ჯიბლაძე: the missing pieces are to 1) give this some meaning and 2) write down a transgression map that "integrates" such a thing over an elliptic curve (or algebraic curve of higher genus) to produce a line bundle.
Dec 19, 2015 at 9:16 comment added მამუკა ჯიბლაძე So the only missing piece is to provide meaning of something like $Z^3(-,{\mathbb C}^\times)\sim Z^2(-,Pic)\sim Z^1(-,Br)$? Or there are some other unclear details?
Dec 19, 2015 at 9:01 history edited Qiaochu Yuan CC BY-SA 3.0
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Dec 19, 2015 at 8:37 history edited Qiaochu Yuan CC BY-SA 3.0
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Dec 19, 2015 at 8:36 comment added Qiaochu Yuan @მამუკა ჯიბლაძე: in the Dijkgraaf-Witten theory picture you only see the surface as a manifold, not as a Riemann surface / algebraic curve.
Dec 19, 2015 at 8:30 comment added მამუკა ჯიბლაძე So why is this not an answer? :D
Dec 18, 2015 at 23:22 history answered Qiaochu Yuan CC BY-SA 3.0