25 citations · 79 across the 20 of their papers we have counts for
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math.DG2019★ 2 cited
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…
math.DG2019★ 25 cited
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…
math.KT2019
A topological approach to indices of geometric operators on manifolds with fibered boundaries
Mayuko Yamashita
In this paper, we investigate topological aspects of indices of twisted geometric operators on manifolds equipped with fibered boundaries. We define -groups relative to the push…