Comments on: the buckyball curve

By: Kea

Kea — Fri, 08 Aug 2008 09:33:12 +0000

Yes, yes! But don’t say that to a string theorist, or they’ll call you all sorts of names.

By: John McKay

John McKay — Fri, 08 Aug 2008 07:29:10 +0000

Surely moonshine is related to the Langlands program…. but there is nothing I know of even mentioning this possibility.

By: John McKay

John McKay — Tue, 05 Aug 2008 06:41:31 +0000

Perhaps this is where to initiate a global discussion on M and Witten’s 24-dim spin manifold W for which he conjectures an effective M action on its free loop space. I have suggested three approaches: 1. dKP (Carroll/Kodama) reduced using Norton’s replicability definition on Grunsky (=Neumann) coefficients so that the stress energy tensor = -mn.h[lcm(m,n),gcd(m,n)]. 2. There are 360 cusps in MM (column C of Conway-Norton Monstrous Moonshine). Is there an action on the cusps and elliptic marked points of all the Riemann surfaces of genus zero? A symplectic geometry? quotient? 3. Hirzebruch’s approach using Chern classes. Once Faber polynomials can be identified, we find we have replicable fns. It is then not far to MM fns.

By: Kea

Kea — Fri, 04 Jul 2008 04:07:39 +0000

… and how about a post on how 1 + 4 + 9 + … + 24^2 = 70^2 is REALLY a statement about unifying cusps and holes (genus) as degrees of freedom in quantum geometry.

By: Kea

Kea — Fri, 04 Jul 2008 03:50:09 +0000

I was hoping you would write a post on the ‘uninteresting case’ of p=5 in this context. Note that the truncated tetrahedron has (V,E,F)=(12,18,8) which is a triple that appears in the ternary (cyclic) geometry for the cube. This triple can be 4 hexagons and 4 triangles (the truncated tetrahedron) OR 4 pentagons and 4 squares!