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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeOct 6th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexgave [[prequantum line bundle]] a little entry of its own

   gave prequantum line bundle a little entry of its own

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeOct 6th 2011
   • PermaLink
   Author: zskoda
   Format: MarkdownItexPeople also say "quantization line bundle".

   People also say “quantization line bundle”.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeOct 6th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexYes, many more people say "quantum line bundle". But some say "prequantum line bundle". On the other hand, everybody says that constructing these beasts is "prequantization", so the latter term seems to make more sense.

   Yes, many more people say “quantum line bundle”. But some say “prequantum line bundle”. On the other hand, everybody says that constructing these beasts is “prequantization”, so the latter term seems to make more sense.

4. • CommentRowNumber4.
   • CommentAuthorzskoda
   • CommentTimeOct 6th 2011
   • PermaLink
   Author: zskoda
   Format: MarkdownItexI do not know of quantum line bundle, I heard more often quantization line bundle (what makes more sense, the bundle is not quantum but it is used for quantization).

   I do not know of quantum line bundle, I heard more often quantization line bundle (what makes more sense, the bundle is not quantum but it is used for quantization).

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeOct 6th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexThat's true.

   That’s true.

6. • CommentRowNumber6.
   • CommentAuthorzskoda
   • CommentTimeOct 7th 2011
   • PermaLink
   Author: zskoda
   Format: MarkdownItexJust to remind (if somebody did not notice) of the recent related entry [[orbit method]], which was the principal source (along with rather complementary Borel-Weil-Bott theorem), historically, of the geometric quantization.

   Just to remind (if somebody did not notice) of the recent related entry orbit method, which was the principal source (along with rather complementary Borel-Weil-Bott theorem), historically, of the geometric quantization.

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeJul 16th 2015
   • (edited Jul 16th 2015)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded [pointer](http://ncatlab.org/nlab/show/prequantum+line+bundle#Morava99) to * [[Jack Morava]], _Cobordism of symplectic manifolds and asymptotic expansions_, talk at the conference in honor of S.P. Novikov's 60th birthday ([arXiv:9908070](http://arxiv.org/abs/math/9908070)) which discusses prequantized manifolds in the context of cobordism rings and Thom spectra. (Thanks to Jack Morava for pointing this reference out to me.)

   added pointer to

   • Jack Morava, Cobordism of symplectic manifolds and asymptotic expansions, talk at the conference in honor of S.P. Novikov’s 60th birthday (arXiv:9908070)

   which discusses prequantized manifolds in the context of cobordism rings and Thom spectra. (Thanks to Jack Morava for pointing this reference out to me.)