Mayuko Yamashita

collaborators

4 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…

The U(1)-topological elliptic genus is surjective

Topological Elliptic Genera I -- The mathematical foundation

Genuine Cn​-equivariant TMF

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

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