Stability conditions and maximal green sequences in abelian categories

• Thomas Brüstle ^[1] ; David Smith ^[1] ; Hipolito Treffinger ^[2]
  1. [1] Université de Sherbrooke

     Université de Sherbrooke

     CA.10.05.43027, Canadá

     
  2. [2] Université Paris Cité, France
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 63, Nº. 1, 2022, págs. 203-221
• Idioma: inglés
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• Resumen

  • 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.