@article{Hu2026, 
author = {Jiangsheng Hu and Wei Ren and Xiaoyan Yang and Hanyang You},
title = {Models for chain homotopy category of relative acyclic complexes},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {2},
pages = {830-843},
keywords = {balanced pair, model category, exact category, chain homotopy category, recollement},
url = {https://www.sciopen.com/article/10.3934/era.2026038},
doi = {10.3934/era.2026038},
abstract = {Let    (      X    ,      Y    ) be a balanced pair in an abelian category        A  . Denote by              K                      E            -              a        c              (      X    ) the chain homotopy category of right        X  -acyclic complexes with all items in        X  , and dually by              K                      E            -              a        c              (      Y    ) the chain homotopy category of left        Y  -acyclic complexes with all items in        Y  . We establish realizations of              K                      E            -              a        c              (      X    ) and              K                      E            -              a        c              (      Y    ) as homotopy categories of model categories under mild conditions. Consequently, we obtain relative versions of recollements of Krause and Neeman-Murfet. We further present applications to Gorenstein projective and Gorenstein injective modules.}
}