Ying-Hsuan Lin

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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.AT2024

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.…

Genuine Cn​-equivariant TMF

Topological Elliptic Genera I -- The mathematical foundation

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