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math.CO2026
Dot actions and Hessenberg spaces for dihedral groups
Jonathan Boretsky, Reuven Hodges, Nathan Lesnevich +2
Splines on Weyl groups model the equivariant cohomology of regular semisimple Hessenberg varieties, and the natural group action on them encodes the monodromy action. The resulting…
math.CO2026
List coloring -free planar graphs with a sparse matching of restricted lists
Stephen G. Hartke, Yupei Li, Joseph Pappe +3
A graph is -choosable if it has a proper coloring for every -list assignment. While every -free planar graph is -choosable, some of them are not -choosable, as…