Thanks! Will do.

]]>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.

]]>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.

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

]]>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?

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

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

]]>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.

]]>Added a reference

- Hisham Sati,
*OP2 bundles in M-theory*, (arXiv:0807.4899)