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On extensions for gentle algebras

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arxiv 1707.06934 v3 pith:NDUVIXOT submitted 2017-07-21 math.RT

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We give a complete description of a basis of the extension spaces between indecomposable string and quasi-simple band modules in the module 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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