Corpus ID: 235458194

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

@inproceedings{Yamashita2021DifferentialMF,
  title={Differential models for the Anderson dual to bordism theories and invertible QFT's},
  author={Mayuko Yamashita and Kazuya Yonekura},
  year={2021}
}
In this paper, we construct new models for the Anderson duals $(I\Omega^G)^*$ to the stable tangential $G$-bordism theories and their differential extensions. The cohomology theory $(I\Omega^G)^*$ is conjectured by Freed and Hopkins \cite{Freed:2016rqq} to classify deformation classes of possibly non-topological invertible quantum field theories (QFT's). Our model is made by abstractizing certain properties of invertible QFT's, thus supporting their conjecture. 

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