Higher analytic torsion of sphere bundles and continuous cohomology of $Diff(S^{2n-1})$

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Using the higher analytic torsion form of Bismut and Lott we construct a characteristic class for smooth sphere bundles. We calculate this class in the case where the sphere bundle comes from a complex vector bundle. Related to these characteristic classes we define nontrivial continuous group cohomology classes of the diffeomorphism group of odd dimensional spheres.
10 pages

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Differential Geometry, 58D05; 58G10

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http://salesiana.dossiersoluciones.com/handle/123456789/76633

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9802100
 http://arxiv.org/abs/math/9802100

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arXiv