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arXiv · 2310.15866

Deformation classes of invertible field theories and the Freed--Hopkins conjecture

Daniel Grady
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Abstract

We prove a conjecture of Freed and Hopkins, which relates deformation classes of reflection positive, invertible, $d$-dimensional extended field theories with fixed symmetry type to a certain generalized cohomology of a Thom spectrum. Along the way, we establish several results, including the construction of a smooth variant of the Brown--Comenetz dual of the sphere spectrum and a calculation of the "deformation type" of the extended geometric bordism category.

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Daniel Grady. 2023-10-24. Deformation classes of invertible field theories and the Freed--Hopkins conjecture. https://arxiv.org/abs/2310.15866

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