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arXiv · 2407.13627

A restricted model for the bounded derived category of gentle algebras

Esha Gupta
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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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Esha Gupta. 2024-07-18. A restricted model for the bounded derived category of gentle algebras. https://arxiv.org/abs/2407.13627

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