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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For GKM3 actions, restriction maps in equivariant graph cohomology are surjective on abstract graph extensions, giving generator-relation descriptions of cohomology rings for Hamiltonian GKM4 actions.
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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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Equivariant cohomology epimorphisms and face ring quotients for Hamiltonian and complexity one GKM$_4$ manifolds
For GKM3 actions, restriction maps in equivariant graph cohomology are surjective on abstract graph extensions, giving generator-relation descriptions of cohomology rings for Hamiltonian GKM4 actions.