25 citations · 79 across the 20 of their papers we have counts for
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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 lattice version of the Atiyah-Singer index theorem
Mayuko Yamashita
We formulate and prove a lattice version of the Atiyah-Singer index theorem. The main theorem gives a -theoretic formula for an index-type invariant of operators on lattice appr…
A new construction of strict deformation quantization for Lagrangian fiber bundles
Mayuko Yamashita
We give a new construction of strict deformation quantization of symplectic manifolds equipped with a proper Lagrangian fiber bundle structure, whose representation spaces are the…
Spectral convergence in geometric quantization --- the case of toric symplectic manifolds
Kota Hattori, Mayuko Yamashita
In this paper, we show the spectral convergence result of -Laplacians when is a compact toric symplectic manifold equipped with the natural prequantum…
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…