45 citations · 213 across the 36 of their papers we have counts for
37 papers
3d Super Hyperbolic Geometry
Robert Penner
Wigner's unitary representation of the Lorentz group is extended to a representation of the complex orthosymplectic Lie super group OSp_C(1|2) acting on Minkowski (3,1|4)-dimension…
Protein Geometry, Function and Mutation
Robert Penner
This survey for mathematicians summarizes several works by the author on protein geometry and protein function with applications to viral glycoproteins in general and the spike gly…
Angle Defect for Super Triangles
Robert Penner
We prove that the angle defect minus the area of a super hyperbolic triangle is not identically zero and explicitly compute the purely fermionic difference. This disproves the Angl…
Music of moduli spaces
Robert Penner
A musical instrument, the plastic hormonica, is defined here as a birthday present for Dennis Sullivan, who pioneered and helped popularize the hyperbolic geometry underlying its c…
Super Hyperbolic Law of Cosines: same formula with different content
Robert Penner
We derive the Laws of Cosines and Sines in the super hyperbolic plane using Minkowski supergeometry and find the identical formulae to the classical case, but remarkably involving…
Sketch of a Program for Universal Automorphic Functions to Capture Monstrous Moonshine
Igor Frenkel, Robert Penner
We review and reformulate old and prove new results about the triad , which prov…