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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeNov 8th 2019

starting a stub. Nothing here yet, but need to save.

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeNov 9th 2019
• (edited Nov 9th 2019)

added a graphics (here) illustrating how what one might call the “shape observables” on the fuzzy 2-sphere (the integrals “$\int_{S^2_N} (R^{2k})$” for any choice of fixing the ordering ambiguity of the integrand) are encoded by chord diagrams, and are in fact $\mathfrak{sl}(2)$-weight system Vassiliev invariants.

To give this a little bit of a home, I added a minimum of text around that, and in order to give that text a bit of a home I added some further text with basics on the definition of the fuzzy 2-sphere.

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeNov 11th 2019

am adding pointers on the fuzzy 3-sphere:

The fuzzy 3-sphere was first discussed (in the context of D0-brane-systems) in

Discussion in the context of M2-M5-brane bound states/E-strings:

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeNov 23rd 2019

added the original references on the fuzzy 4-sphere:

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeNov 23rd 2019

added references on the fuzzy 6-sphere and higher:

• CommentRowNumber6.
• CommentAuthorUrs
• CommentTime4 days ago

replaced the previous graphics (showing the chord diagrams coresponding to the various shape observables on the fuzzy 2-sphere) by a slightly improved version (here). Also adjusted the text slightly, but there remains much room for improvement.