Summary
Starting with Hirzebruch's A-genus we define a numerical invariantμ for certain (4k-1)-manifolds. We produce examples to show howμ can distinguish differentiable structures on certain topological manifolds.
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To Enrico Bompiani on his scientific Jubilee
Research partially supported by the Office of Naval Rescarch under Contract 266 (57).
This author has a research grant from the National Science Foundation NSF-G-13989.
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Eells, J., Kuiper, N.H. An invariant for certain smooth manifolds. Annali di Matematica 60, 93–110 (1962). https://doi.org/10.1007/BF02412768
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DOI: https://doi.org/10.1007/BF02412768