Eta-invariants, Torsion forms and Flat vector bundles
| Autor: | Weiping Zhang, Xiaonan Ma |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2004 |
| Předmět: |
Mathematics - Differential Geometry
Pure mathematics General Mathematics Computation Mathematical analysis Vector bundle K-Theory and Homology (math.KT) Differential Geometry (math.DG) Mathematics::K-Theory and Homology Mathematics - K-Theory and Homology Torsion (algebra) FOS: Mathematics Analytic torsion Mathematics::Differential Geometry 58J Adiabatic process Mathematics |
| Popis: | We 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 $\eta$-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 $\eta$-forms appearing in the adiabatic limit computations. Comment: 42 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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