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arXiv · 2310.08456

On a conjecture of Stolz in the toric case

Michael Wiemeler
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Abstract

In 1996 Stolz conjectured that a string manifold with positive Ricci curvature has vanishing Witten genus. Here we prove this conjecture for toric string Fano manifolds and for string torus manifolds admitting invariant metrics of non-negative sectional curvature.

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Michael Wiemeler. 2023-10-12. On a conjecture of Stolz in the toric case. https://doi.org/10.1090/proc%2F16823

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