η-Invariant and Flat Vector Bundles*
| Autor: | Xiaonan Ma, Weiping Zhang |
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| Rok vydání: | 2006 |
| Předmět: | |
| Zdroj: | Chinese Annals of Mathematics, Series B. 27:67-72 |
| ISSN: | 1860-6261 0252-9599 |
| Popis: | We first apply the method and results in the previous paper to give a new proof of a result (hold in $ {\bf C}/{\bf Z}$) of Gilkey on the variation of $\eta$-invariants associated to non self-adjoint Dirac type operators. We then give an explicit local expression of certain η-invariant appearing in recent papers of Braverman-Kappeler on what they call refined analytic torsion, and propose an alternate formulation of their definition of the refined analytic torsion. A refinement in ${\bf C}$ of the above variation formula is also proposed. |
| Databáze: | OpenAIRE |
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