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A calculus for flow categories

Lobb, Andrew; Orson, Patrick; Schuetz, Dirk

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Authors

Patrick Orson



Abstract

We describe a calculus of moves for modifying a framed flow category without changing the associated stable homotopy type. We use this calculus to show that if two framed flow categories give rise to the same stable homotopy type of homological width at most three, then the flow categories are move equivalent. The process we describe is essentially algorithmic and can often be performed by hand, without the aid of a computer program.

Citation

Lobb, A., Orson, P., & Schuetz, D. (2022). A calculus for flow categories. Advances in Mathematics, 409(Part B), Article 108665. https://doi.org/10.1016/j.aim.2022.108665

Journal Article Type Article
Acceptance Date Aug 19, 2022
Online Publication Date Sep 19, 2022
Publication Date Nov 19, 2022
Deposit Date Sep 1, 2022
Publicly Available Date Sep 21, 2022
Journal Advances in Mathematics
Print ISSN 0001-8708
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 409
Issue Part B
Article Number 108665
DOI https://doi.org/10.1016/j.aim.2022.108665
Public URL https://durham-repository.worktribe.com/output/1192996

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