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Open AccessMedian quasimorphisms on \({{\,\mathrm{{CAT}}\,}}(0)\) cube complexes and their cup products
Cup products provide a natural approach to access higher bounded cohomology groups. We extend vanishing results on cup products of Brooks quasimorphisms of free groups to cup products of median quasimorphisms,...
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Open AccessStratifying the space of barcodes using Coxeter complexes
Embeddings of the space of barcodes in Euclidean spaces are unstable due to the permutation of the bars of a barcode. We use tools from geometric group theory to produce a stratification of the space ...
