25 citations · 84 across the 15 of their papers we have counts for
15 papers
A physicist-friendly reformulation of the mod-two Atiyah-Patodi-Singer index
Hidenori Fukaya, Mikio Furuta, Yoshiyuki Matsuki +4
Gauge anomaly in 4-dimensions can be viewed as a current inflow into an extra-dimension, where the total phase of the fermion partition function is given in a gauge invariant way b…
Mod-two APS index and domain-wall fermion
Hidenori Fukaya, Mikio Furuta, Yoshiyuki Matsuki +4
We reformulate the mod-two Atiyah-Patodi-Singer (APS) index in a physicist-friendly way using the domain-wall fermion. Our new formulation is given on a closed manifold, which is e…
A physicist-friendly reformulation of the Atiyah-Patodi-Singer index and its mathematical justification
Hidenori Fukaya, Mikio Furuta, Shinichiroh Matsuo +3
The Atiyah-Patodi-Singer index theorem describes the bulk-edge correspondence of symmetry protected topological insulators. The mathematical setup for this theorem is, however, not…
The Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators
Hidenori Fukaya, Mikio Furuta, Shinichiroh Matsuo +3
We introduce a mathematician-friendly formulation of the physicist-friendly derivation of the Atiyah-Patodi-Singer index of our previous paper. Our viewpoint sheds some new light o…
The perturbation of the Seiberg-Witten equations revisited
Mikio Furuta, Shinichiroh Matsuo
We introduce a new class of perturbations of the Seiberg-Witten equations. Our perturbations offer flexibility in the way the Seiberg-Witten invariants are constructed and also she…
Geodesic flows on spheres and the local Riemann-Roch numbers
Hajime Fujita, Mikio Furuta, Takahiko Yoshida
We calculate the local Riemann-Roch numbers of the zero sections of and , where the local Riemann-Roch numbers are defined by using the -bundle structure o…