arXiv:2210.00532 Abstract | arXiv Analytics

arXiv:2210.00532 [math.GT]Abstract References Reviews Resources

A twisted invariant of a compact Riemann surface

Published 2022-10-02Version 1

We introduce a twisted version of the Kawazumi-Zhang invariant $a_g(C) = \varphi(C)$ of a compact Riemann surface $C$ of genus $g \geq 1$, and discuss how it is related to the first Mumford-Morita-Milller class $e_1 = \kappa_1$ on the moduli space of compact Riemann surfaces and the original Kawazumi-Zhang invariant.

Categories: math.GT, math.AG

Keywords: compact riemann surface, twisted invariant, original kawazumi-zhang invariant, first mumford-morita-milller class, moduli space

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