Introduces the three-cosystole invariant for matroids and proves its optimal upper bound among regular matroids of rank at most six via monotonicity under extensions and explicit estimates on maximal simple examples.
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3 Pith papers cite this work, alongside 783 external citations. Polarity classification is still indexing.
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UNVERDICTED 3representative citing papers
Every closed connected smooth n-manifold M is dominated by the n-skeleton of a finite simplicial complex whose simplex count is bounded by n and the embolic volume of M.
Affirmative resolution of Yau's problem: small mass implies bilipschitz diffeomorphism to R^3 for 3-manifolds with nonnegative scalar curvature and L^2 curvature bounded by 1.
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Higher cosystoles of matroids
Introduces the three-cosystole invariant for matroids and proves its optimal upper bound among regular matroids of rank at most six via monotonicity under extensions and explicit estimates on maximal simple examples.
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Topological Complexity and Finite Domination
Every closed connected smooth n-manifold M is dominated by the n-skeleton of a finite simplicial complex whose simplex count is bounded by n and the embolic volume of M.
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On $3$-manifolds with small mass and $L^2$-curvature
Affirmative resolution of Yau's problem: small mass implies bilipschitz diffeomorphism to R^3 for 3-manifolds with nonnegative scalar curvature and L^2 curvature bounded by 1.