The classification of highly connected manifolds in dimensions 7 and 15

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Let P be a closed smooth (4j-2)-connected 8j-manifold. We complete Wilkens' classification of the manifolds P for j = 1,2 and give an alternative proof to Wall's classification of the manifolds for j > 2. The Hopf-invariant-one dimensions (j=1,2) are characteristed by the fact that the quadratic linking functions which classify may be inhomogeneous. Hence we also extend the classification of (homogeneous) quadratic linking forms on finite abelian groups (due to Nikulin) to the inhomogeneous case.
PhD Thesis, Indiana University 2001, 117 pages

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Geometric Topology, Algebraic Topology, 57N15; 57N65, 57R22, 11E81

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http://salesiana.dossiersoluciones.com/handle/123456789/63647

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0203253
 http://arxiv.org/abs/math/0203253

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arXiv