A complete derived invariant for gentle algebras via winding numbers and Arf invariants
نویسندگان
چکیده
Abstract Gentle algebras are in bijection with admissible dissections of marked oriented surfaces. In this paper, we further study the properties and show that silting objects for gentle given by associated surface. We associate to each algebra a line field on corresponding surface prove derived equivalence class is completely determined homotopy up homeomorphism Then, based winding numbers Arf invariant certain quadratic form over $${\mathbb {Z}}_2$$ Z 2 , translate numerical complete algebras.
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ژورنال
عنوان ژورنال: Selecta Mathematica-new Series
سال: 2023
ISSN: ['1022-1824', '1420-9020']
DOI: https://doi.org/10.1007/s00029-022-00822-x