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Recollements, comma categories and morphic enhancements

Authors :
Chen, Xiao-Wu
Le, Jue
Source :
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 152 (3) (2022), 567-591
Publication Year :
2019

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.<br />Comment: all comments are welcome!

Details

Database :
arXiv
Journal :
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 152 (3) (2022), 567-591
Publication Type :
Report
Accession number :
edsarx.1905.10256
Document Type :
Working Paper