Mathematics – Geometric Topology
Scientific paper
2009-06-05
Mathematics
Geometric Topology
Scientific paper
In this short note we apply methods introduced by B. Hanke and T. Shick to
prove the vanishing of (low dimensional) higher $A$-genera for spin manifolds
admitting a positive scalar curvature metric. Our aim is to provide a short and
unified proof for this beautiful result without using the strong Novikov
conjecture.
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