Modular Invariance Characteristic Numbers and Η Invariants
نویسندگان
چکیده
We extend the “miraculous cancellation” formulas of Alvarez– Gaumé, Witten and Kefeng Liu to a twisted version where an extra complex line bundle is involved. We apply our result to discuss intrinsic relations between the higher dimensional Rokhlin type congruences due to Ochanine, Finashin and Zhang. In particular, an analytic proof of the Finashin congruence is given.
منابع مشابه
0 M ay 2 00 3 Modular invariance , characteristic numbers and η invariants
We generalize the “miraculous cancellation” formulas of Alvarez-Gaumé, Witten and Kefeng Liu to a twisted version where an extra complex line bundle is involved. We also apply our result to discuss intrinsic relations between the higher dimensional Rokhlin type congruence formulas of Ochanine [O1], Finashin [F] and Zhang [Z1, 2]. In particular, an analytic proof of the Finashin congruence formu...
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تاریخ انتشار 2004