On a conjecture of Stolz in the toric case

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.

6 pages; minor changes; to appear in Proc AMS

References in corpus (2)

• Torus manifolds and non-negative curvature
• A note on torus actions and the Witten genus

Cited by in corpus (1)

• Witten genera of complete intersections