A twisted invariant of a compact Riemann surface

Abstract

We introduce a twisted version of the Kawazumi-Zhang invariant ag(C) = (C) of a compact Riemann surface C of genus g ≥ 1, and discuss how it is related to the first Mumford-Morita-Milller class e1 = 1 on the moduli space of compact Riemann surfaces and the original Kawazumi-Zhang invariant.

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