The paper proves Speyer's 2005 tropical f-vector conjecture by showing that the matroid invariant ω(M) is non-negative for every matroid, via a Cohen-Macaulay external activity complex of a pair of matroids.
Tautological classes of matroids
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The external activity complex of a pair of matroids
The paper proves Speyer's 2005 tropical f-vector conjecture by showing that the matroid invariant ω(M) is non-negative for every matroid, via a Cohen-Macaulay external activity complex of a pair of matroids.