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arXiv · 2301.10464

Central support for triangulated categories

Henning Krause
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Abstract

For any essentially small triangulated category the centre of its lattice of thick subcategories is introduced; it is a spatial frame and yields a notion of central support. A relative version of this centre recovers the support theory for tensor triangulated categories and provides a universal notion of cohomological support. Along the way we establish Mayer-Vietoris sequences for pairs of commuting subcategories.

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Henning Krause. 2023-01-25. Central support for triangulated categories. https://doi.org/10.1093/imrn%2Frnad242

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