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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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 2verdicts
UNVERDICTED 2representative citing papers
Under stated conditions, the Weyl energy on a Bach-flat 4-manifold decreases after connected sum with a positive-Yamabe locally conformally flat manifold.
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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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Decreasing Weyl's energy by connected sums with locally conformally flat manifolds
Under stated conditions, the Weyl energy on a Bach-flat 4-manifold decreases after connected sum with a positive-Yamabe locally conformally flat manifold.