nLab Mayuko Yamashita

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Selected writings

On lifting the Witten genus of the heterotic string to topological modular forms:

• Yuji Tachikawa, Topological modular forms and the absence of a heterotic global anomaly (arXiv:2103.12211)

• Yuji Tachikawa, Mayuko Yamashita, Topological modular forms and the absence of all heterotic global anomalies, Comm. Math. Phys. 402 (2023) 1585-1620 [arXiv:2108.13542, doi:10.1007/s00220-023-04761-2]

and in relation to Anderson duality of tmf:

• Yuji Tachikawa, Mayuko Yamashita, Anderson self-duality of topological modular forms, its differential-geometric manifestations, and vertex operator algebras [arXiv:2305.06196]

On differential KO-theory via mass terms:

• Kiyonori Gomi, Mayuko Yamashita, Differential KO-theory via gradations and mass terms [arXiv:2111.01377]

On the mod-2 elliptic genus, both as a partition function of a superstring as well as via the string-orientation of tmf:

• Yuji Tachikawa, Mayuko Yamashita, Kazuya Yonekura, Remarks on mod-2 elliptic genus [arXiv:2302.07548]

On tmf in relation to elliptic genera as partition functions of 2d SCFTs:

• Theo Johnson-Freyd, Mayuko Yamashita, On the 576-fold periodicity of the spectrum SQFT: The proof of the lower bound via the Anderson duality pairing [arXiv:2404.06333]

On equivariant elliptic cohomology:

• Ying-Hsuan Lin, Mayuko Yamashita: Topological Elliptic Genera I – The mathematical foundation [arXiv:2412.02298]

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