Tensor-triangular rigidity in chromatic homotopy theory

Scott Balchin; Constanze Roitzheim; Jordan Williamson

Tensor-triangular rigidity in chromatic homotopy theory

Scott Balchin, Constanze Roitzheim, Jordan Williamson

School of Mathematics and Physics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Journal	Israel Journal of Mathematics
Publication status	Accepted - 01 Jan 2024

Keywords

math.AT
55P42, 55P60, 18G80

Embargoed Document

Tensor-triangular rigidity in chromatic homotopy theory
Accepted author manuscript, 292 KB
Licence: CC BY
Embargo ends: 25/05/2025

Cite this

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title = "Tensor-triangular rigidity in chromatic homotopy theory",

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.",

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author = "Scott Balchin and Constanze Roitzheim and Jordan Williamson",

year = "2024",

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language = "English",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

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AU - Roitzheim, Constanze

AU - Williamson, Jordan

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Y1 - 2024/1/1

N2 - 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.

AB - 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.

KW - math.AT

KW - 55P42, 55P60, 18G80

M3 - Article

SN - 0021-2172

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

ER -

Tensor-triangular rigidity in chromatic homotopy theory

Abstract

Keywords

Embargoed Document

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