A calculus for flow categories

Lobb, Andrew; Orson, Patrick; Schuetz, Dirk

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