Gårding polynomials form a new class strictly extending real stable polynomials, with equivalent characterizations via polarization and partial derivatives, and applications to matroid generating functions yielding new negative dependence results.
An equation of Monge-Amp` ere type in conformal geometry, and four-manifolds of positive Ricci curvature
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G{\aa}rding Polynomials
Gårding polynomials form a new class strictly extending real stable polynomials, with equivalent characterizations via polarization and partial derivatives, and applications to matroid generating functions yielding new negative dependence results.