The Arf-Brown-Kervaire invariant on a lattice

Sho Araki, Hidenori Fukaya, Tetsuya Onogi +1

We propose a lattice formulation of the Arf-Brown-Kervaire (ABK) invariant which takes values in ${\mathbb{Z}}_8$. Compared to the standard $\mathbb{Z}$-valued index, the ABK invaria…