A Twisted Invariant of a Compact Riemann Surface

Nariya Kawazumi ()
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Nariya Kawazumi: University of Tokyo, Department of Mathematical Sciences

Chapter Chapter 4 in Essays on Geometry, 2025, pp 47-64 from Springer

Abstract: Abstract We introduce a twisted version of the Kawazumi–Zhang invariant a g ( C ) = φ ( C ) $$a_g(C) = \varphi (C)$$ of a compact Riemann surface C of genus g ≥ 1 $$g \geq 1$$ , and discuss how it is related to the first Mumford–Morita–Milller class e 1 = κ 1 $$e_1 = \kappa _1$$ on the moduli space of compact Riemann surfaces and the original Kawazumi–Zhang invariant.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-76257-4_4

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DOI: 10.1007/978-3-031-76257-4_4

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