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arXiv · 2110.14828

Differential models for the Anderson dual to bordism theories and invertible QFT's, II

Mayuko Yamashita
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Abstract

This is the second part of the work on differential models of the Anderson duals to the stable tangential $G$-bordism theories $I\Omega^G$, motivated by classifications of invertible QFT's. Using the model constructed in the first part \cite{YamashitaYonekura2021}, in this paper we show that pushforwards in generalized differential cohomology theories induces transformations between differential cohomology theories which refine the Anderson duals to multiplicative genera. This gives us a unified understanding of an important class of elements in the Anderson duals with physical origins.

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Mayuko Yamashita. 2021-10-28. Differential models for the Anderson dual to bordism theories and invertible QFT's, II. https://arxiv.org/abs/2110.14828

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