Stability conditions and maximal green sequences in abelian categories

Authors

  • Thomas Brüstle D´epartement de Math´ematiques, Universit´e de Sherbrooke, Sherbrooke, Qu´ebec, Canada
  • David Smith D´epartement de Math´ematiques, Universit´e de Sherbrooke, Sherbrooke, Qu´ebec, Canada
  • Hipolito Treffinger Universit´e Paris Cit´e, Bˆatiment Sophie Germain, Paris, France

DOI:

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

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.

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Author Biography

Thomas Brüstle, D´epartement de Math´ematiques, Universit´e de Sherbrooke, Sherbrooke, Qu´ebec, Canada

Professor 

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Published

2022-06-06

Issue

Vol. 63 No. 1 (2022)

Section

Article

License

Copyright (c) 2022 Thomas Brüstle, David Smith, Hipolito Treffinger

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