Modular invariance and characteristic numbers
نویسندگان
چکیده
منابع مشابه
Modular Invariance and Characteristic Numbers
We prove that a general miraculous cancellation formula, the divisibility of certain characteristic numbers, and some other topological results related to the generalized Rochlin invariant, the η-invariant and the holonomies of certain determinant line bundles, are consequences of the modular invariance of elliptic operators on loop space. 1. Motivations In [AW], a gravitational anomaly cancell...
متن کاملModular Invariance Characteristic Numbers and Η Invariants
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.
متن کاملModular Invariance and Twisted Anomaly Cancellations for Characteristic Numbers
By studying modular invariance properties of some characteristic forms, we obtain twisted anomaly cancellation formulas. We apply these twisted cancellation formulas to study divisibilities on spin manifolds and congruences on spinc manifolds. Especially, we get twisted Rokhlin congruences for 8k + 4 dimensional spinc manifolds.
متن کاملModular Invariance and Twisted Cancellations of Characteristic Numbers
By studying modular invariance properties of some characteristic forms, which are related to elliptic genera, we obtain twisted cancellation formulas for characteristic forms. We apply these twisted cancellation formulas to study divisibilities on spin manifolds and congruences on spinc manifolds. In particular, we obtain twisted Rokhlin congruences for 8k + 4 dimensional spinc manifolds.
متن کامل0 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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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1995
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02099462