English

A twisted invariant of a compact Riemann surface

Geometric Topology 2022-10-11 v2 Algebraic Geometry

Abstract

We introduce a twisted version of the Kawazumi-Zhang invariant ag(C)=φ(C)a_g(C) = \varphi(C) of a compact Riemann surface CC of genus g1g \geq 1, and discuss how it is related to the first Mumford-Morita-Milller class e1=κ1e_1 = \kappa_1 on the moduli space of compact Riemann surfaces and the original Kawazumi-Zhang invariant.

Keywords

Cite

@article{arxiv.2210.00532,
  title  = {A twisted invariant of a compact Riemann surface},
  author = {Nariya Kawazumi},
  journal= {arXiv preprint arXiv:2210.00532},
  year   = {2022}
}
R2 v1 2026-06-28T02:33:23.334Z