circuit polytopes 1ehrhart theory 1graphic zonotopes 1oriented matroids 1symmetric group actions 1type a root systems 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.CO2026
Oriented Matroid Circuit Polytopes
Laura Escobar, Jodi McWhirter
The paper studies polytopes defined from the signed circuits and cocircuits of oriented matroids, giving dimension formulas, face descriptions, Ehrhart series, and symmetric group…
math.CO2025
Algebra and geometry of ASM weak order
Laura Escobar, Patricia Klein, Anna Weigandt
Much of modern Schubert calculus is centered on Schubert varieties in the complete flag variety and on their classes in its integral cohomology ring. Under the Borel isomorphism, t…
math.AG2024
Geometric families of degenerations from mutations of polytopes
Laura Escobar, Megumi Harada, Christopher Manon
We introduce the notion of a polyptych lattice, which encodes a collection of lattices related by piecewise linear bijections. We initiate a study of the new theory of convex geome…