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Morphisms between indecomposable complexes in the bounded derived category of a gentle algebra

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arxiv 1411.7644 v2 pith:W2RME6KO submitted 2014-11-27 math.RT

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keywords algebraboundedcategorycomplexesderivedgentleindecomposablemorphisms
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In this article we provide a simple combinatorial description of morphisms between indecomposable complexes in the bounded derived category of a gentle algebra.

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  1. An isometry theorem for persistent homology of circle-valued functions

    math.AT 2025-06 conditional novelty 7.0 of 10

    For persistence modules of circle-valued functions, the interleaving distance equals the bottleneck distance between arc barcodes on a geometric model.

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