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

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dc.creatorBunke, Ulrich
dc.date1998-02-20
dc.date.accessioned2026-07-07T05:23:55Z
dc.date.available2026-07-07T05:23:55Z
dc.descriptionUsing 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.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/9802100
dc.identifierhttp://arxiv.org/abs/math/9802100
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76633
dc.subjectDifferential Geometry
dc.subject58D05; 58G10
dc.titleHigher analytic torsion of sphere bundles and continuous cohomology of $Diff(S^{2n-1})$
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