Differential models for the Anderson dual to bordism theories and invertible QFT's, I
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2021
- DOI:
- 10.48550/arXiv.2106.09270
- arXiv:
- arXiv:2106.09270
- Bibcode:
- 2021arXiv210609270Y
- Keywords:
-
- Mathematics - Algebraic Topology;
- Condensed Matter - Strongly Correlated Electrons;
- High Energy Physics - Theory;
- Mathematical Physics
- E-Print:
- 60 pages, 1 figures. The content of this article has been greatly changed and improved from the first version (v1). The results of v1 are contained in Sections 3 and 4 of the current version. See Remark 1.20 for details