Kavli Affiliate: Yuji Tachikawa | First 5 Authors: Yuji Tachikawa, Mayuko Yamashita, , , | Summary: We construct a morphism of spectra from $mathrm{KO}((q))/mathrm{TMF}$ to $Sigma^{-20}I_{mathbb{Z}} mathrm{TMF}$, which we show to be an equivalence and to implement the Anderson self-duality of $mathrm{TMF}$. This morphism is then used to define another morphism from $mathrm{TMF}$ to $Sigma^{-20}I_{mathbb{Z}}(mathrm{MSpin}/mathrm{MString})$, […]
Continue.. Anderson self-duality of topological modular forms, its differential-geometric manifestations, and vertex operator algebras