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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 . Compared to the standard -valued index, the ABK invaria…
hep-th2025★ 2 cited
-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 -theory and that its associated spectral flow is equal to the index.…
hep-lat2025
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 -theory. The standard definition given by the overlap Dirac operator equals to the invariant of the Wilson Dirac o…