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math.CO2025
Representation theory for polymatroids
Matthew Baker, June Huh, Donggyu Kim +2
We develop a theory of representations of (discrete) polymatroids over tracts in terms of Plücker coordinates and suitable Plücker relations. As special cases, we recover polymatro…
math.CO2025
The Jacobian of a regular orthogonal matroid and torsor structures on spanning quasi-trees of ribbon graphs
Matthew Baker, Changxin Ding, Donggyu Kim
Previous work of Chan--Church--Grochow and Baker--Wang shows that the set of spanning trees in a plane graph is naturally a torsor for the Jacobian group of . Informally, th…