Eta-invariants, Torsion forms and Flat vector bundles

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dc.creatorMa, Xiaonan
dc.creatorZhang, weiping
dc.date2004-05-31
dc.date.accessioned2026-07-07T05:08:45Z
dc.date.available2026-07-07T05:08:45Z
dc.descriptionWe present a new proof, as well as a ${\bf C/Q}$ extension, of the Riemann-Roch-Grothendieck theorem of Bismut-Lott for flat vector bundles. The main techniques used are the computations of the adiabatic limits of $η$-invariants associated to the so-called sub-signature operators. We further show that the Bismut-Lott analytic torsion form can be derived naturally from the transgression of the $η$-forms appearing in the adiabatic limit computations.
dc.description42 pages
dc.identifierhttps://arxiv.org/abs/math/0405599
dc.identifierhttp://arxiv.org/abs/math/0405599
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71390
dc.subjectDifferential Geometry
dc.subjectK-Theory and Homology
dc.subject58J
dc.titleEta-invariants, Torsion forms and Flat vector bundles
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