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arXiv · 1905.10256

Recollements, comma categories and morphic enhancements

Xiao-Wu Chen·Jue Le
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Abstract

For each recollement of triangulated categories, there is an epivalence between the middle category and the comma category associated to a triangle functor from the category on the right to the category on the left. For a morphic enhancement of a triangulated category $\mathcal{T}$, there are three explicit ideals of the enhancing category, whose corresponding factor categories are all equivalent to the module category over $\mathcal{T}$. Examples related to inflation categories and weighted projective lines are discussed.

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Xiao-Wu Chen, Jue Le. 2019-05-24. Recollements, comma categories and morphic enhancements. https://arxiv.org/abs/1905.10256

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