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.
and Neves, Andr\'e , TITLE =
2 Pith papers cite this work. Polarity classification is still indexing.
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Clifford torus is Willmore for all τ>0 in Berger spheres; Morse index estimates along the path yield bifurcating symmetric Willmore tori via bifurcation theory.
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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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Bifurcations of the Clifford Torus as Willmore Surfaces in Berger Spheres
Clifford torus is Willmore for all τ>0 in Berger spheres; Morse index estimates along the path yield bifurcating symmetric Willmore tori via bifurcation theory.