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math.AG2023
Splitting the cohomology of Hessenberg varieties and e-positivity of chromatic symmetric functions
Alex Abreu, Antonio Nigro
For each indifference graph, there is an associated regular semisimple Hessenberg variety, whose cohomology recovers the chromatic symmetric function of the graph. The decompositio…
math.AG2023
Wall-crossing of universal Brill-Noether classes
Alex Abreu, Nicola Pagani
We give an explicit graph formula, in terms of decorated boundary strata classes, for the wall-crossing of universal Brill-Noether classes. More precisely, fix n>0 and d<g , and tw…