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

Ulrich Bunke

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arXiv · math/9802100

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

Ulrich Bunke

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Abstract

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.

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BibTeX RIS

Ulrich Bunke. 1998-02-20. Higher analytic torsion of sphere bundles and continuous cohomology of $Diff(S^{2n-1})$. https://arxiv.org/abs/math/9802100

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