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nLab > Latest Changes: exotic 7-sphere

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  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

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