Not signed in (Sign In)

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 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 definitions 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 k-theory lie-theory 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 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

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).

nLab > Latest Changes: exotic 7-sphere

Bottom of Page

1 to 7 of 7

  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMar 24th 2019
    • (edited Mar 24th 2019)

    am splitting off this entry from exotic smooth strcuture, in order to facilitate linking to specifically the case of exotic 7-sphere.

    Accordingly, so far the bulk of the entry is just copied over from the corresponding section at exotic smooth structure,

    But I also added a new paragraph,

    and that is what motivated me to split this off. Namely it occured to me that from the point of view of M-theory on 8-manifolds, Milnor’s classical construction of exotic smooth 7-spheres as boundaries of 8-manifolds is very particularly the construction of near horizon limits of black M2-brane spacetimes in the context of M-theory on 8-manifolds.

    This must be known in the literature, and I’d like to collect what is known about it. So far I found a brief comment in this direction, in section 3.2 of

    Will be adding more as I find more.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMar 24th 2019

    changed page name to singular

    v1, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeDec 12th 2020

    added pointer to:

    diff, v8, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeMar 24th 2021

    added the missing reference:

    (I guess this was lost when we split this entry here up from exotic spheres)

    diff, v9, current

    • CommentRowNumber5.
    • CommentAuthorDavid_Corfield
    • CommentTimeDec 7th 2021

    There’s a reference to (FSS 19, 4.6) in this section, but that paper doesn’t have a section with that number.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeDec 7th 2021

    Thanks for saying. This was referring to section 4.6 in the arXiv version v1, which became section 3.8 in the published version v4. I have now adjusted accordingly.

    diff, v11, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJun 8th 2022

    added the reference that was missing here:

    diff, v12, current

1 to 7 of 7

  1.