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Central support for triangulated categories
Published 25 Jan 2023 in math.CT, math.AG, math.AT, and math.RT | (2301.10464v1)
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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