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

Mayuko Yamashita; Kazuya Yonekura

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arXiv · 2106.09270

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

Mayuko Yamashita·Kazuya Yonekura

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Abstract

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 [FH21] 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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BibTeX RIS

Mayuko Yamashita, Kazuya Yonekura. 2021-06-17. Differential models for the Anderson dual to bordism theories and invertible QFT's, I. https://arxiv.org/abs/2106.09270

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