Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

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.)