A restricted model for the bounded derived category of gentle algebras

2024/07/18 by Esha Gupta, Gupta, Esha
Mathematics · Computer Science · #Algebraic structures and combinatorial models #Advanced Algebra and Logic #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2407.13627

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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