Recollements, comma categories and morphic enhancements
Rings and Algebras
2022-09-21 v1 Representation Theory
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 , there are three explicit ideals of the enhancing category, whose corresponding factor categories are all equivalent to the module category over . Examples related to inflation categories and weighted projective lines are discussed.
Cite
@article{arxiv.1905.10256,
title = {Recollements, comma categories and morphic enhancements},
author = {Xiao-Wu Chen and Jue Le},
journal= {arXiv preprint arXiv:1905.10256},
year = {2022}
}
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