5 papers
Automorphisms of a -configuration on the Schur quartic
Gerald Höhn
We answer the automorphism question raised by NaskrÄcki and Pokora for their -configuration on the Schur quartic. The stabilizer of either -line half is isomorph…
The unique self-dual binary code of length 26 with minimum weight 6
Gerald Höhn
The binary Type~I self-dual [26,13,6] code is classical. We give what appears to be the first direct non-computational proof of its uniqueness. We first determine the weight enumer…
The Kernel of the -Genus in Rational Spin Bordism is Generated by Ricci-Positive Manifolds
Gerald Höhn, Philipp Höhn
We prove that, in every degree, the rational Spin bordism classes represented by manifolds admitting metrics with positive Ricci curvature span exactly the kernel of the -g…
Systematic Orbifold Constructions of Schellekens' Vertex Operator Algebras from Niemeier Lattices
Gerald Höhn, Gerald Höhn, Sven Möller +1
We present a systematic, rigorous construction of all 70 strongly rational, holomorphic vertex operator algebras of central charge 24 with non-zero weight-one space as cy…
The Order of the Monster Finite Simple Group
Gerald Höhn, Martin Seysen
We determine the order of the largest of the twenty-six sporadic simple groups known as the Monster, using a straightforward computational approach. The Monster is here defined as…