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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 -manifolds and variants including the Witten-Landweber-Ochanine genus.…
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…