Toric $g$-polynomials of hook shape lattice Path Matroid Polytopes and product of simplices

Abstract

It is known that a lattice path matroid polytope can be associated with two given noncrossing lattice paths on $\mathbb{Z}\times \mathbb{Z}$ with the same end points. In this short note we give explicit formulae for the $f$-vector, toric $f$- and $g$-polynomials of a lattice path matroid polytope when two boundary paths enclose a hook shape.

15 pages, 3 figures

References in corpus (1)

• Lattice Path Matroid Polytopes

Cited by in corpus (1)

• Delta-matroids as subsystems of sequences of Higgs lifts