Revista de la
Unión Matemática Argentina
Stability conditions and maximal green sequences in abelian categories
Thomas Brüstle, David Smith, and Hipolito Treffinger
Volume 63, no. 1 (2022), pp. 203–221    

https://doi.org/10.33044/revuma.1110

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Abstract

We study the stability functions on abelian categories introduced by Rudakov and their relation with torsion classes and maximal green sequences. Moreover, we introduce the concept of red paths, a stability condition in the sense of Rudakov that captures information of the wall and chamber structure of the category.