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

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.

31 pages

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Cited by in corpus (5)

• Remarks on Berry Connection in QFT, Anomalies, and Applications
• Matching higher symmetries across Intriligator-Seiberg duality
• Differential cohomology (encyclopedia article)
• Differential Cohomology: Categories, Characteristic Classes, and Connections
• Differential $KO$-theory via gradations and mass terms