Abouzaid–Blumberg's framed flow-category equivalence conjecture

Let \Flowfr\Flow^{fr} be the homotopy category of framed flow categories, whose objects are framed flow categories and whose morphisms are framed morphisms up to framed bordism. Abouzaid–Blumberg conjecture. The category \Flowfr\Flow^{fr} is equivalent to the homotopy category of finite spectra. This would relate framed flow-category bordism to the finite stable homotopy category.

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Primary source

Noah Porcelli and Ivan Smith, “Bordism of flow modules and exact Lagrangians”, arXiv:2401.11766 (2024).

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