Prefer a chat interface with context about you and your work?
Positive and negative results concerning the Gromov-Lawson-Rosenberg conjecture
The Gromov-Lawson-Rosenberg (GLR)-conjecture for a group Γ states that a closed spin manifold M n (n ≥ 5) with fundamental group Γ admits a metric with scal > 0 if and only if its C * -index α(M ) ∈ KO n (C * red (Γ)) vanishes.We prove this for …