Finiteness and Torelli Spaces

dc.creatorHain, Richard
dc.date2005-08-26
dc.date.accessioned2026-07-07T05:22:44Z
dc.date.available2026-07-07T05:22:44Z
dc.descriptionTorelli space (in genus g) is the moduli space of compact Riemann surfaces of genus g together with a symplectic basis of their first homology group. It is the quotient of the genus g Teichmuller space by the Torelli group T_g and is a model of the classifying space of T_g. It is known that almost all T_g are not finite complexes. The goal of this note is to present a suite of problems designed to probe the infinite topology of Torelli spaces. Some background is given and a few new results are proved.
dc.description14 pages. To appear in a book to be edited by Benson Farb containing open problems on mapping class groups
dc.identifierhttps://arxiv.org/abs/math/0508541
dc.identifierhttp://arxiv.org/abs/math/0508541
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76173
dc.subjectGeometric Topology
dc.subjectAlgebraic Geometry
dc.titleFiniteness and Torelli Spaces
dc.typetext

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