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• CommentRowNumber1.
• CommentAuthorDavid_Corfield
• CommentTimeMay 17th 2019

Added a reference

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeJun 27th 2019

added pointer to today’s

• Michael Rios, Alessio Marrani, David Chester, Exceptional Super Yang-Mills in $D=27+3$ and Worldvolume M-Theory (arXiv:1906.10709)

Though I haven’t actually absorbed this yet.

• CommentRowNumber3.
• CommentAuthorDavid_Corfield
• CommentTimeJun 27th 2019

I see they reference the paper by Hisham I added in #1.

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeJun 27th 2019

Thanks for the alert. I have fixed the formatting of $\mathbb{O}P^2$ in the entry.

• CommentRowNumber5.
• CommentAuthorDavid_Corfield
• CommentTimeJun 27th 2019

a natural map of the conjectured “bosonic M-theory” of Horowitz and Susskind in 26 + 1 down to M-theory in 10 + 1.

So what’s the inverse image of twisted cohomotopy?

• CommentRowNumber6.
• CommentAuthorUrs
• CommentTimeJun 27th 2019

What do you mean? Do you mean the kernel of the map from Cohomotopy to K-theory?

• CommentRowNumber7.
• CommentAuthorDavid_Corfield
• CommentTimeJun 27th 2019

I haven’t read what they’re saying closely enough, but since they were talking about a chain of reductions generating a map from bosonic M-theory to ordinary M-theory, aspects of the latter may appear as reductions of the former, e.g., the C-field may have its preimage in bosonic M-theory.

• CommentRowNumber8.
• CommentAuthorDavid_Corfield
• CommentTimeJan 26th 2020

I see a brief mention of the bosonic case appears in Hisham and Daniel’s recent arXiv:2001.07640 (p. 16). The octonionic Hopf fibration has to figure somewhere.

By the way, Urs, you could pass on that there’s a typo on p. 15,

in this case we get that degree 5 cohomotopy gives a contribution to cohomology in higher degree,

should be degree 4.

• CommentRowNumber9.
• CommentAuthorUrs
• CommentTimeJan 26th 2020

Thanks! Will do.

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