For persistence modules of circle-valued functions, the interleaving distance equals the bottleneck distance between arc barcodes on a geometric model.
On extensions for gentle algebras
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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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An isometry theorem for persistent homology of circle-valued functions
For persistence modules of circle-valued functions, the interleaving distance equals the bottleneck distance between arc barcodes on a geometric model.