Η - Invariant and Modular Forms
نویسندگان
چکیده
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 a generalized Witten bundle on spin-manifolds with a deep topological theorem due to Hopkins.
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تاریخ انتشار 2014