The Volume Polynomial and the Dragon Hall-Rado formula

We will define the volume polynomial of a graded Poincaré duality algebra and see that it encodes the graded Poincaré duality algebra. In the case where the graded Poincaré duality algebra comes from the Chow ring of a loopless matroid, we introduce the Dragon Hall-Rado formula, giving a combinatorial formula for the volume polynomial.

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Date published: Wednesday, February 26, 2025