Tensor-triangular rigidity in chromatic homotopy theory

Balchin, Scott, Roitzheim, Constanze, Williamson, Jordan (2025) Tensor-triangular rigidity in chromatic homotopy theory. Israel Journal of Mathematics, . ISSN 0021-2172. E-ISSN 1565-8511. (doi:10.1007/s11856-025-2799-x) (KAR id:105043)

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Official URL: https://doi.org/10.1007/s11856-025-2799-x
Additional URLs: https://link.springer.com/article/10.100...

Abstract

We study the uniqueness of enhancements of tensor-triangulated categories. To do so, we provide conditions under which these enhancements interact well with categorical decompositions. As an application we obtain new results about the uniqueness of enhancements in chromatic homotopy theory.

Item Type:	Article
DOI/Identification number:	10.1007/s11856-025-2799-x
Projects:	Emmy Noether Fellowship
Subjects:	Q Science
Institutional Unit:	Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences
Former Institutional Unit:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Funders:	London Mathematical Society (https://ror.org/01r1e1h27)
Depositing User:	Constanze Roitzheim
Date Deposited:	19 Feb 2024 10:18 UTC
Last Modified:	22 Oct 2025 12:52 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/105043 (The current URI for this page, for reference purposes)

University of Kent Author Information

Roitzheim, Constanze.

Creator's ORCID:	https://orcid.org/0000-0003-3065-0672
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