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A restricted model for the bounded derived category of gentle algebras

Published 18 Jul 2024 in math.RT and math.CO | (2407.13627v2)

Abstract: We present a restricted model for the bounded derived category of gentle algebras that encodes the indecomposable objects and positive extensions between them. The model is then used to count the number of $d$-term silting objects for linearly oriented $A_n$, recovering the result that they are counted by the Pfaff-Fuss-Catalan numbers.

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Authors (1)

  1. Esha Gupta 

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