Papers

  1. Mod-two APS index and domain-wall fermion, with H. Fukaya, M. Furuta, Y. Matsuki, S. Matsuo, T. Onogi and S. Yamaguchi. preprint. https://arxiv.org/abs/2012.03543
  2. A lattice version of the Atiyah-Singer index theorem, Commun. Math. Phys. (2021) https://link.springer.com/article/10.1007/s00220-021-04021-1 https://arxiv.org/abs/2007.06239
  3. A new construction of strict deformation quantization for Lagrangian fiber bundles, preprint. https://arxiv.org/abs/2003.06732
  4. Spectral convergence in geometric quantization --- the case of toric symplectic manifolds, with K. Hattori. preprint. https://arxiv.org/abs/2002.12495
  5. Spectral convergence in geometric quantization --- the case of non-singular Langrangian fibrations, with K. Hattori. preprint. https://arxiv.org/abs/1912.07994
  6. The Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators, with H. Fukaya, M. Furuta, S. Matsuo, T. Onogi and S. Yamaguchi. to appear in Communications in Mathematical Physics. https://arxiv.org/abs/1910.01987
  7. A topological approach to indices of geometric operators on manifolds with fibered boundaries, Commun. Math. Phys. 377, 77--147 (2020). https://link.springer.com/article/10.1007/s00220-019-03595-1