25 citations · 79 across the 20 of their papers we have counts for
8 papers · 1 filter
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…
Genuine -equivariant
Ying-Hsuan Lin, Akira Tominaga, Mayuko Yamashita
We determine the -module structures of the genuine -equivariant with -gradings and of the -equivariant . More…
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.…
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…
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…
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…
Differential models for the Anderson dual to bordism theories and invertible QFT's, II
Mayuko Yamashita
This is the second part of the work on differential models of the Anderson duals to the stable tangential -bordism theories , motivated by classifications of invertible QF…
Differential models for the Anderson dual to bordism theories and invertible QFT's, I
Mayuko Yamashita, Kazuya Yonekura
In this paper, we construct new models for the Anderson duals to the stable tangential -bordism theories and their differential extensions. The cohomology theory $(IΩ…