Papers
- Topological Elliptic Genera I--The mathematical foundation, with Y-H. Lin. preprint. https://arxiv.org/abs/2412.02298
- On the 576-fold periodicity of the spectrum SQFT: The proof of the lower bound via the Anderson duality pairing, with T. Johnson-Freyd. preprint. https://arxiv.org/abs/2404.06333
- Anderson self-duality of topological modular forms, its differential-geometric manifestations, and vertex operator algebras, with Y. Tachikawa. preprint. https://arxiv.org/abs/2305.06196
- Remarks on mod-2 elliptic genus, with Y. Tachikawa and K. Yonekura. to appear in Comm. Math. Phys. https://arxiv.org/abs/2302.07548
- Differential KO-theory via gradations and mass terms, with K. Gomi. Adv. Theor. Math. Phys. 27 (2023) 2, 381-481. https://arxiv.org/abs/2111.01377
- Differential models for the Anderson dual to bordism theories and invertible QFT's, II. Journal of Gokova Geometry Topology, Vol 16, 65--97 (2023). https://www.gokovagt.org/journal/2023/yamashita.html
- Topological modular forms and the absence of all heterotic global anomalies, with Y. Tachikawa. Comm. Math. Phys, 402, 1585--1620 (2023) https://link.springer.com/article/10.1007/s00220-023-04761-2
- Differential models for the Anderson dual to bordism theories and invertible QFT's, I, with K. Yonekura. Journal of Gokova Geometry Topology, Vol 16, 1--64 (2023). https://www.gokovagt.org/journal/2023/yamashitayonekura.html
- Mod-two APS index and domain-wall fermion, with H. Fukaya, M. Furuta, Y. Matsuki, S. Matsuo, T. Onogi and S. Yamaguchi. Lett. Math. Phys 112, 16 (2022). https://link.springer.com/article/10.1007/s11005-022-01509-2
- A lattice version of the Atiyah-Singer index theorem, Commun. Math. Phys. 385, 495--520 (2021) https://link.springer.com/article/10.1007/s00220-021-04021-1
- A new construction of strict deformation quantization for Lagrangian fiber bundles, preprint. https://arxiv.org/abs/2003.06732
- Spectral convergence in geometric quantization --- the case of toric symplectic manifolds, with K. Hattori. preprint. https://arxiv.org/abs/2002.12495
- Spectral convergence in geometric quantization --- the case of non-singular Langrangian fibrations, with K. Hattori. Journal of Symplectic Geometry, vol 21, 1191--1237 (2023). https://archive.intlpress.com/site/pub/pages/journals/items/jsg/content/vols/0021/0006/a002/index.php
- The Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators, with H. Fukaya, M. Furuta, S. Matsuo, T. Onogi and S. Yamaguchi. Commun. Math. Phys. 380, 1295--1311 (2020). https://link.springer.com/article/10.1007/s00220-020-03806-0
- 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
Proceedings
- Invertible QFTs and differential Anderson duals (proceedings to Stringmath 2022). https://arxiv.org/abs/2304.08833