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

Llohann D. Sperança | Zendy

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

Author(s) -

Llohann D. Sperança

Publication year - 2015

Publication title -

proceedings of the american mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.968

H-Index - 84

eISSN - 1088-6826

pISSN - 0002-9939

DOI - 10.1090/proc/12945

Subject(s) - spheres , geodesic , mathematics , bott periodicity theorem , principal (computer security) , homotopy , quotient , separate spheres , pure mathematics , mathematical analysis , homotopy sphere , homotopy group , computer science , physics , political science , astronomy , law , operating system , ideology , politics

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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