η-Invariant and Flat Vector Bundles*
نویسندگان
چکیده
منابع مشابه
η-invariant and flat vector bundles II
We first apply the method and results in the previous paper to give a new proof of a result (hold in C/Z) of Gilkey on the variation of ηinvariants 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 o...
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We show that theAtiyah–Patodi–Singer reducedη-invariant of the twisted Dirac operator on a closed 4m− 1-dimensional spin manifold, with the twisted bundle being the Witten bundle appearing in the theory of elliptic genus, is a meromorphic modular form of weight 2m up to an integral q-series. We prove this result by combining our construction of certain modular characteristic forms associated to...
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ژورنال
عنوان ژورنال: Chinese Annals of Mathematics, Series B
سال: 2006
ISSN: 0252-9599,1860-6261
DOI: 10.1007/s11401-005-0320-8