MathDB2 problems
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Conjecture on Ricci-positive metrics after connected sum with a homotopy sphere
Let be a highly connected manifold admitting a positive scalar curvature metric and with vanishing Witten genus. A homotopy-sphere Ricci-positivity conjecture. There exists a h…
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Stolz–Höhn conjecture on the Witten genus and positive Ricci curvature
Let be a highly connected manifold of dimension . The Stolz–Höhn conjecture. If admits a metric with positive Ricci curvature, then its Witten genus vanishes. The Witt…