Not signed in (Sign In)

Start a new discussion

Not signed in

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

  • Sign in using OpenID

Site Tag Cloud

2-categories 2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry beauty bundles calculus categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology combinatorics complex-geometry computable-mathematics computer-science connection constructive constructive-mathematics cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry differential-topology digraphs duality education elliptic-cohomology enriched fibration finite foundations functional-analysis functor galois-theory gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck 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 infinity integration integration-theory k-theory lie lie-theory limits linear linear-algebra locale localization logic manifolds mathematics measure-theory modal-logic model model-category-theory monad monoidal monoidal-category-theory morphism motives motivic-cohomology multicategories noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pasting philosophy physics planar 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-theory subobject superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeOct 6th 2011

    gave prequantum line bundle a little entry of its own

    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeOct 6th 2011

    People also say “quantization line bundle”.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeOct 6th 2011

    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.

    • CommentRowNumber4.
    • CommentAuthorzskoda
    • CommentTimeOct 6th 2011

    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).

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeOct 6th 2011

    That’s true.

    • CommentRowNumber6.
    • CommentAuthorzskoda
    • CommentTimeOct 7th 2011

    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.

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJul 16th 2015
    • (edited Jul 16th 2015)

    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.)

Add your comments
  • Please log in or leave your comment as a "guest post". If commenting as a "guest", please include your name in the message as a courtesy. Note: only certain categories allow guest posts.
  • To produce a hyperlink to an nLab entry, simply put double square brackets around its name, e.g. [[category]]. To use (La)TeX mathematics in your post, make sure Markdown+Itex is selected below and put your mathematics between dollar signs as usual. Only a subset of the usual TeX math commands are accepted: see here for a list.

  • (Help)