PreprintarXiv licencearXiv
Stable compatibility for model categories
Abstract
By introducing the notion of stable compatibility, we provide a framework in the model category theory which addresses the existence of a stable model structure on the category of modules over a monad. Exact version of such monads have been studied in the setting of triangulated categories, separately as separable monads a la Balmer in tensor triangular geometry and non-separable monads a la Dell'Ambrogio and Sanders in stable homotopy theory. By introducing stable compatibility, we explore their properties together and produce a non-separable monad in Algebraic geometry and more.
Related
- Compatibility of HRS tilt and completion of t-structures in triangulated categories
- Hermitian K-theory for stable ∞-categories III: Grothendieck--Witt groups of rings
- Moduli spaces of stable objects in Enriques categories
- Semiorthogonal decompositions of stable ∞-categories
- Stable homotopy theory of higher categories with adjoints
BibTeX
@misc{arora2026stable,
title = {{Stable compatibility for model categories}},
author = {Kunal Arora and Vivek Mohan Mallick},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.00813},
eprint = {2611.00813},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.00813},
}
RIS
TY - UNPB
TI - Stable compatibility for model categories
AU - Kunal Arora
AU - Vivek Mohan Mallick
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.00813
UR - https://arxiv.org/abs/2611.00813
AB - By introducing the notion of stable compatibility, we provide a framework in the model category theory which addresses the existence of a stable model structure on the category of modules over a monad. Exact version of such monads have been studied in the setting of triangulated categories, separately as separable monads a la Balmer in tensor triangular geometry and non-separable monads a la Dell'Ambrogio and Sanders in stable homotopy theory. By introducing stable compatibility, we explore their properties together and produce a non-separable monad in Algebraic geometry and more.
ER -