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    • starting something. Not done yet but need to save

      v1, current

    • I put the opening material into an Idea section, and replaced several ’?’s with ∞.

      diff, v20, current

    • Added an i to the expression to make omega real


      diff, v2, current

    • starting something – not done yet, but need to save

      v1, current

    • I have added to M5-brane a fairly detailed discussion of the issue with the fractional quadratic form on differential cohomology for the dual 7d-Chern-Simons theory action (from Witten (1996) with help of Hopkins-Singer (2005)).

      In the new section Conformal blocks and 7d Chern-Simons dual.

    • At overt space there was a remark that since the definition quantifies over “spaces”, the overtness of a single space might depend on the general meaning chosen for “space”, but that no example was known to the author. I added an example involving synthetic topology, which may not be quite what the author of that remark was thinking of, but which I think is interesting.

    • added some actual text to Verdier duality (in the Idea-section). But it’s no really good yet. More later…

    • added to perverse sheaf a paragraph on the issue with and the origin of the terminology, here.

    • added this, under References – Review:

      In March 2013, following an accurate processing of available measurement data, the Planck Scientific Collaboration published the highest-resolution photograph ever of the early Universe when it was only a few hundred thousand years old. The photograph showed galactic seeds in sufficient detail to test some nontrivial theoretical predictions made more than thirty years ago. Most amazing was that all predictions were confirmed to be remarkably accurate. With no exaggeration, we may consider it established experimentally that quantum physics, which is normally assumed to be relevant on the atomic and subatomic scale, also works on the scale of the entire Universe, determining its structure with all its galaxies, stars, and planets.

      diff, v22, current