Tetsuya Onogi

collaborators

3 papers

hep-lat2025

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 $Z_{8}$ . Compared to the standard $Z$ -valued index, the ABK invaria…

hep-th2025

$K$ -theoretic computation of the Atiyah(-Patodi)-Singer index of lattice Dirac operators

Shoto Aoki, Hidenori Fukaya, Mikio Furuta +3

We show that the Wilson Dirac operator in lattice gauge theory can be identified as a mathematical object in $K$ -theory and that its associated spectral flow is equal to the index.…

hep-lat2025

$η$ invariant of massive Wilson Dirac operator and the index

Shoto Aoki, Hidenori Fukaya, Mikio Furuta +3

We revisit the lattice index theorem in the perspective of $K$ -theory. The standard definition given by the overlap Dirac operator equals to the $η$ invariant of the Wilson Dirac o…

The Arf-Brown-Kervaire invariant on a lattice

K-theoretic computation of the Atiyah(-Patodi)-Singer index of lattice Dirac operators

η invariant of massive Wilson Dirac operator and the index

$K$ -theoretic computation of the Atiyah(-Patodi)-Singer index of lattice Dirac operators

$η$ invariant of massive Wilson Dirac operator and the index