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math.CO2024
Acyclic matchings on Bruhat intervals and applications to total positivity
Huanchen Bao, Xuhua He
The existence of acyclic complete matchings on the face poset of a regular CW complex implies that the underlying topological space of the CW complex is contractible by discrete Mo…
math.CO2023
Total positivity for matroid Schubert varieties
Xuhua He, Connor Simpson, Kaitao Xie
We define the totally nonnegative matroid Schubert variety of a linear subspace . We show that is a regular CW complex homeomor…