Pulling back the Gromoll-Meyer construction and models of exotic spheres

Published 28 Oct 2010 in math.DG, math.AT, and math.GT | (1010.6039v3)

Abstract: Here we generalize the Gromoll-Meyer construction of an exotic 7-sphere by producing geometric models of exotic 8, 10 and Kervaire spheres as quotients of sphere bundles over spheres by free isometric actions. We give a geometric application at the end.

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Llohann D. Sperança

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