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

Sperança, L.

doi:10.1090/proc/12945

Pulling back the Gromoll-Meyer construction and models of exotic spheres
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Proc. Amer. Math. Soc. 144 (2016), 3181-3196 Request permission

Abstract:

The Gromoll-Meyer construction of an exotic 7-sphere is generalized by producing geometric models of exotic 8-, 10- and Kervaire spheres as quotients of principal bundles over spheres. Also, using the geometry of their geodesics, the group structure of homotopy 8-spheres is explicitly presented.

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