Johnson's homomorphisms and the Arakelov-Green function

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dc.creatorKawazumi, Nariya
dc.date2008-01-28
dc.date.accessioned2026-07-07T08:56:48Z
dc.date.available2026-07-07T08:56:48Z
dc.descriptionLet $π: {\mathbb C}_g \to {\mathbb M}_g$ be the universal family of compact Riemann surfaces of genus $g \geq 1$. We introduce a real-valued function on the moduli space ${\mathbb M}_g$ and compute the first and the second variations of the function. As a consequence we relate the Chern form of the relative tangent bundle $T_{{\mathbb C}_g/{\mathbb M}_g}$ induced by the Arakelov-Green function with differential forms on ${\mathbb C}_g$ induced by a flat connection whose holonomy gives Johnson's homomorphisms on the mapping class group.
dc.identifierhttps://arxiv.org/abs/0801.4218
dc.identifierhttp://arxiv.org/abs/0801.4218
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146741
dc.subjectGeometric Topology
dc.subjectAlgebraic Geometry
dc.subject57R20 (Primary); 14H15, 32G15 (Secondary)
dc.titleJohnson's homomorphisms and the Arakelov-Green function
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