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math.AT2023★ 2 cited
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 (). Its differential version will then be introduced, allo…
math.AT2023★ 1 cited
Invertible QFTs and differential Anderson duals
Mayuko Yamashita
This is the proceeding of a talk given at Stringmath 2022. We introduce a Cheeger-Simons type model for the differential extension of Anderson dual to generalized homology theory w…
hep-th2023
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 -valued Witten index vanishes.…