21 citations · 35 across the 8 of their papers we have counts for
8 papers
Automorphisms of a -configuration on the Schur quartic
Gerald Höhn
We answer the automorphism question raised by Naskręcki and Pokora for their -configuration on the Schur quartic. The stabilizer of either -line half is isomorphi…
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…
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…
Classification of Self-Dual Vertex Operator Superalgebras of Central Charge at Most 24
Gerald Höhn, Sven Möller
We classify the self-dual (or holomorphic) vertex operator superalgebras of central charge 24, or in physics parlance the purely left-moving, fermionic 2-dimensional conformal fiel…
Systematic Orbifold Constructions of Schellekens' Vertex Operator Algebras from Niemeier Lattices
Gerald Höhn, Sven Möller
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 Conformal Packing Problem
Gerald Höhn
We formulate the conformal packing problem and dual packing problem in analogy to similar problems for binary codes and lattices. We obtain explicit numerical upper bounds for the…
On the Genus of the Moonshine Module
Gerald Höhn
We provide a novel and simple description of Schellekens' seventy-one affine Kac-Moody structures of self-dual vertex operator algebras of central charge 24 by utilizing cyclic sub…