Toral classes and the Gromov-Lawson-Rosenberg Conjecture for elementary abelian 2-groups

摘要

Let π be a finite elementary abelian 2-group and let Ω n (Bπ) denote the corresponding spin bordism group. We show that the so-called toral bordism classes in Ω n (Bπ) for n≧ 3 can be represented by singular manifolds which admit a metric of positive scalar curvature.