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 beauty bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics 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 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 history homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limit limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab nonassociative noncommutative noncommutative-geometry number-theory object 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 string 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
    • CommentTimeMar 25th 2019

    Page created, but author did not leave any comments.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMar 25th 2019

    started some minimum

    v1, current

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeApr 27th 2019

    Added a couple of properties.

    diff, v3, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeApr 27th 2019

    Where you have “generator of the group of homotopy spheres” maybe you mean “generator of the group of exotic 7-spheres”?

    • CommentRowNumber5.
    • CommentAuthorDavid_Corfield
    • CommentTimeApr 27th 2019
    • (edited Apr 27th 2019)

    I used precisely the words of Exotic spheres and curvature, p. 601.

    But then maybe that’s shorthand from the paragraph before, so we should have “the group of diffeomorphism classes of oriented homotopy spheres in dimension 7”.

    • CommentRowNumber6.
    • CommentAuthorDavid_Corfield
    • CommentTimeApr 27th 2019

    Made that change.

    diff, v3, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeApr 27th 2019

    Oh, I see. All right, thanks.

    • CommentRowNumber8.
    • CommentAuthorDavid_Corfield
    • CommentTimeApr 27th 2019

    Altered the wording of the Idea, since it sounded like it was one case out of many such biquotients.

    diff, v3, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeApr 27th 2019
    • (edited Apr 27th 2019)

    added pointer to these slides:

    • Llohann D. Sperança, Explicit Constructions over the Exotic 8-sphere (pdf )

    pointed out by David C. here.

    I tried to find the corresponding article. Maybe it’s this one, which I added:

    • Llohann D. Sperança, Pulling back the Gromoll-Meyer construction and models of exotic spheres, Proceedings of the American Mathematical Society 144.7 (2016): 3181-3196 (arXiv:1010.6039)

    But the slides speak of “joint work with C. Duran and A. Rigas” and if this goes with a joint publication, then I haven’t found it yet.

    diff, v4, current

    • CommentRowNumber10.
    • CommentAuthorDavid_Corfield
    • CommentTimeApr 27th 2019

    There is one joint paper

    • C. Duran, A. Rigas, and L. Sperança. Bootstrapping Ad-equivariant maps, diffeomorphisms and involutions. Matematica Contemporanea, 35:27–39, 2010. (pdf)
    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeApr 27th 2019

    Thanks! That’s not the one corresponding to those slides, but it’s interesting. I have added the pointer here (though that list of references is too long and unstructured already)

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)