25 citations · 79 across the 20 of their papers we have counts for
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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…
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…
Spectral convergence in geometric quantization -- the case of non-singular Langrangian fibrations
Kota Hattori, Mayuko Yamashita
We develop a new approach to geometric quantization using the theory of convergence of metric measure spaces. Given a family of Kähler polarizations converging to a non-singular re…
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…