On a conjecture of Stolz in the toric case
Wiemeler, Michael
Research article (journal) | Peer reviewedAbstract
In 1996 Stolz [Math. Ann. 304 (1996), pp. 785–800] 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.
Details about the publication
Journal: Proceedings of the American Mathematical Society (Proc. Amer. Math. Soc.)
Volume: 152
Issue: 8
Page range: 3617-3621
Status: Published
Release year: 2024
DOI: 10.1090/proc/16823
Keywords: Stolz conjecture; toric manifolds; Fano manifolds; torus manifolds; positive Ricci curvature
Authors from the University of Münster
| Wiemeler, Michael | Professur für Differentialgeometrie (Prof. Wilking) |