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    • Page created, but author did not leave any comments.

      v1, current

    • a minimum, for the moment just so as to record some references on Pin(2)Pin(2)-equivariant homotopy theory (as kindly pointed out by David Roberts)

      v1, current

    • I have spent some minutes starting to put some actual expository content into the Idea-section on higher gauge theory. Needs to be much expanded, still, but that’s it for the moment.

    • Added (not very elegantly) the relation to Meyer-Vietoris sequence at Dold-Thom theorem.

    • Somebody named Adam left a comment box a while ago at premonoidal category saying that naturality of the associator requires three naturality squares. I believe that this is true when phrased explicitly in terms of one-variable functors, but the slick approach using the “funny tensor product” allows us to rephrase it as a single natural transformation between functors CCCCC\otimes C\otimes C\to C. I’ve edited the page accordingly. I also added the motivating example (the Kleisli category of a strong monad) and a link to sesquicategory.

      There is a comment on the page that “It may be possible to weaken the above make (Cat,)(Cat,\otimes) a symmetric monoidal 2-category, in which a monoid object is precisely a premonoidal category”. However, the Power-Robinson paper says that “We remark that (C):CatCat(C \otimes -) : Cat \to Cat is not a 2-functor,” which seems to throw some cold water on the obvious approach to that idea. Was the thought to define a different 2-categorical structure on CatCat than the usual one, e.g. using unnatural transformations? It seems that at least one would still have to explicitly require centrality of the coherence isomorphisms.

    • For now, a place to try putting some typing rules for proto CLF.

      v1, current

    • added pointer to these two recent references, identifying further L L_\infty-algebra structure in Feynman amplitudes/S-matrices of perturbative quantum field theory:

      diff, v11, current

    • Page created, but author did not leave any comments.

      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.

    • started gauged WZW model, but no content yet, am just recording some references…

    • Page created, but author did not leave any comments.

      v1, current

    • Page created, but author did not leave any comments.

      v1, current

    • This page proposes a notion of split pushout (of epimorphisms) that is then an absolute pushout “for equational reasons.”

      v1, current

    • I noticed that we had no entry density, so I very briefly created one. While cross-linking it, I noticed that at volume form there is related discussion re “pseudo-volume forms”. Maybe somebody here would enjoy to add a bit more glue? (I won’t at the moment.)