2 citations · 4 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
Totally positive skew-symmetric matrices
Jonathan Boretsky, Veronica Calvo Cortes, Yassine El Maazouz
A matrix is totally positive if all of its minors are positive. This notion of positivity coincides with the type A version of Lusztig's more general total positivity in reductive…
Totally Nonnegative Tropical Flags and the Totally Nonnegative Flag Dressian
Jonathan Boretsky
We study the totally nonnegative part of the complete flag variety and of its tropicalization. We show that Lusztig's notion of nonnegative complete flag variety coincides with the…
Positive Tropical Flags and the Positive Tropical Dressian
Jonathan Boretsky
We study the totally non-negative part of the complete flag variety and of its tropicalization. We start by showing that Lusztig's notion of non-negative complete flag variety coin…