On a conjecture of Stolz in the toric case
Differential Geometry
2024-10-29 v2 Geometric Topology
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.
Keywords
Cite
@article{arxiv.2310.08456,
title = {On a conjecture of Stolz in the toric case},
author = {Michael Wiemeler},
journal= {arXiv preprint arXiv:2310.08456},
year = {2024}
}
Comments
6 pages; minor changes; to appear in Proc AMS