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-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry bundle bundles calculus 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 finite foundations functional-analysis functor galois-theory gauge-theory gebra geometric-quantization geometry graph graphs gravity 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 homology homotopy homotopy-theory homotopy-type-theory index-theory infinity integration integration-theory itex k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory 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 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 string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft 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
    • CommentTimeMay 8th 2011

    added to Chern-Weil homomorphism the description of the construction of the refined CW homomorphism by differential functions built using the universal connection as described by Hopkins-Singer.

    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeMar 28th 2012

    The letter PP is used in the first paragraph both for the invariant polynomial and for the total space of the principal bundle. I did not change it as I do not know which one to change to stay in accordance with other entries on the topic. Urs ?

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeMar 28th 2012

    Thanks. I have changed the invariant polynomial notation to “\langle -\rangle”.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeDec 15th 2018
    • (edited Dec 15th 2018)


    I have moved the section to before the “refined” version, renamed to “The plain Chern-Weil homomorphism” (okay?) and instead added pointer to the actual reference Kobayashi-Nomizu 63

    diff, v13, current

  1. Thanks Urs. It looks good for me.
    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeDec 15th 2018
    • (edited Dec 15th 2018)

    All right.

    I only see now that the threads split, I had been replying, of course, to your message here.

    L Probably it’s the hyphen bug at work, which keeps haunting the nLab.

    • CommentRowNumber7.
    • CommentAuthorDavid_Corfield
    • CommentTimeDec 15th 2018

    Isn’t it that the category of the other thread is ’nLab’ rather than ’Latest Changes’ here?

  2. As mentioned by David, the category of thread is nLab there.
    • CommentRowNumber9.
    • CommentAuthorRichard Williamson
    • CommentTimeDec 15th 2018
    • (edited Dec 15th 2018)

    Yes, David C is correct. Let me know if the two threads should be merged. I am not aware of any present hyphen bug :-).

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeDec 15th 2018

    I think there is still a problem with some links on the nLab not working, because hyphens that look the same have different character encodings. I stopped reporting that long ago, but if you have the energy, I will drop a message next time I encounter it.

  3. Ah, yes, please do. We have a similar issue registered on the Technical TODO list (nlabmeta). I think people do it unintentionally, but if anyone is deliberately making a choice, I’d suggest to keep it simple and use the usual Ascii hyphen rather a unicode em or en dash :-).

    • CommentRowNumber12.
    • CommentAuthorUrs
    • CommentTimeDec 15th 2018

    I think the problem comes not so much from people making choices, but from some non-trivial transformation happening in the process of a) typing a hyphen into the source code, b) it being rendered (and maybe differently in bulk text and headlines?) and this rendered output c) being copy-and pasted into the next source.

    But I’ll check.

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)