2 papers
math.CO2026
Bruhat Intervals in the Infinite Symmetric Group are Cohen-Macaulay
Nathaniel Gallup, Leo Gray
We show that the (non-Noetherian) Stanley-Reisner ring of the order complex of certain intervals in the Bruhat order on the infinite symmetric group of all auto-bijectio…
math.AC2026
Antidiagonal Initial Complexes of Infinite Matrix Schubert Varieties are Cohen-Macaulay
Anna Natalie Chlopecki, Nathaniel Gallup, Jason Meintjes
We show that, under certain constraints, the Stanley-Reisner ring of an infinite simplicial complex is Cohen-Macaulay in the sense of ideals and weak Bourbaki unmixed. We apply thi…