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nLab > Latest Changes: equivariant homotopy group

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 22nd 2018
    • (edited Sep 22nd 2018)

    maded explicit the identification of equivariant stable homotopy groups with equivariant generalized cohomology groups of the point: here

    diff, v12, current

    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeSep 22nd 2018

    Does the naive/genuine distinction correspond to anything from a linear HoTT perspective?

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeSep 22nd 2018
    • (edited Sep 22nd 2018)

    Yes, genuine GG-spectra are equivalently the motives of fractional 0-branes. Only that people usually say “spectral Mackey functor”, in order not to give away what it really means ;-)

    • CommentRowNumber4.
    • CommentAuthorDavid_Corfield
    • CommentTimeSep 22nd 2018
    • (edited Sep 22nd 2018)

    Reading fractional D-brane I can kinda see what you mean, and something like this has been building up with that talk of motives of G-sets (which I now can’t find) and the Burnside category. Is it written out on some page?

    I see I was led to a similar question as #2 a couple of years ago. Push-pull through correspondences are everywhere.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeSep 22nd 2018
    • (edited Sep 22nd 2018)

    Thanks for reminding me of the pointer to that old discussion. So I am referring to my old comment just beneath yours there.

    For a long time I thought that it must be a meaningless coincidence that GG-spectra realized as spectral Mackey functors are the 1d cohomological quantum field theory of a funny kind of G-particles. Now maybe, in view of equivariant stable cohomotopy classification of M-brane charge, I am beginning to see how it all comes together. Something like a spectral BFSS model for fractional 0-branes.

    • CommentRowNumber6.
    • CommentAuthorDavid_Corfield
    • CommentTimeSep 23rd 2018

    What does “whose degrees of freedom are a set of 9+1 large matrices” mean at BFSS model? There are 10 matrices of a large size?

  7. Added the recent C_2-equivariant computations

    Natalie Stewart

    diff, v14, current

  8. Starting a subsection on the RO(G)-graded Mackey functor homotopy groups

    Natalie Stewart

    diff, v14, current

  9. Starting a page for the C_2 case since there’s a lot to say there

    Natalie Stewart

    diff, v15, current

  10. Cleaning this up a bit

    Natalie Stewart

    diff, v16, current

  11. How do you use an align* environment???

    Natalie Stewart

    diff, v16, current

    • CommentRowNumber12.
    • CommentAuthorUrs
    • CommentTimeApr 25th 2024

    like this:

     $$
    \begin{aligned}
     A &= B
     \\
     C &= D
    \end{aligned}
  $$

1 to 12 of 12

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