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Modular invariance and characteristic numbers

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Abstract

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.

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  1. Mathematics Department, M.I.T., 02139, Cambridge, MA, USA

    Kefeng Liu

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  1. Kefeng Liu
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Communicated by S.-T. Yau

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Liu, K. Modular invariance and characteristic numbers. Commun.Math. Phys. 174, 29–42 (1995). https://doi.org/10.1007/BF02099462

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  • DOI: https://doi.org/10.1007/BF02099462

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