Mayuko Yamashita

activity

20242026

collaborators

6 papers

math.AT2026

The U(1)-topological elliptic genus is surjective

Tilman Bauer, Mayuko Yamashita

We show that the topological elliptic genus from the cobordism ring of SU-manifolds to topological Jacobi forms lifts to connective topological Jacobi forms, and that this lift is…

math.AT2026

Topological Elliptic Genera I -- The mathematical foundation

Ying-Hsuan Lin, Mayuko Yamashita

We construct {\it Topological Elliptic Genera}, homotopy-theoretic refinements of the elliptic genera for $S U$ -manifolds and variants including the Witten-Landweber-Ochanine genus.…

math.AT2025

Genuine $C_{n}$ -equivariant $TMF$

Ying-Hsuan Lin, Akira Tominaga, Mayuko Yamashita

We determine the $TMF$ -module structures of the genuine $C_{2}$ -equivariant $TMF$ with $RO (C_{2})$ -gradings and of the $C_{3}$ -equivariant $TMF$ . More…

math.AT2025

Anderson duality of topological modular forms and its differential-geometric manifestations

Yuji Tachikawa, Mayuko Yamashita

We construct and study a morphism of spectra implementing the Anderson duality of topological modular forms ( $TMF$ ). Its differential version will then be introduced, allo…

hep-th2024

Remarks on mod-2 elliptic genus

Yuji Tachikawa, Mayuko Yamashita, Kazuya Yonekura

For physicists: For supersymmetric quantum mechanics, there are cases when a mod-2 Witten index can be defined, even when a more ordinary $Z$ -valued Witten index vanishes.…

math.AT2024

On the 576-fold periodicity of the spectrum SQFT: The proof of the lower bound via the Anderson duality pairing

Theo Johnson-Freyd, Mayuko Yamashita

We are aimed at giving a differential geometric, and accordingly physical, explanation of the 576-periodicity of TMF. In this paper, we settle the problem of giving the lower bound…