Infinite topology of curve complexes and non-Poincare duality of Teichmueller modular groups

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dc.creatorIvanov, Nikolai V.
dc.creatorJi, Lizhen
dc.date2007-07-29
dc.date.accessioned2026-07-07T08:20:59Z
dc.date.available2026-07-07T08:20:59Z
dc.descriptionIn this note, we fill in a gap in the literature by proving that the Teichmueller modular groups (mapping class groups) are not Poincare duality groups and the complexes of curves of surfaces have infinite homotopy type (i.e. are not homotopy equivalent to a finite CW-complex).
dc.description11 pages, no figures
dc.identifierhttps://arxiv.org/abs/0707.4322
dc.identifierhttp://arxiv.org/abs/0707.4322
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135227
dc.subjectGeometric Topology
dc.subjectGroup Theory
dc.subject32G15 (Primary); 20F38, 20J06, 30F60, 57M07, 57M99 (Secondary)
dc.titleInfinite topology of curve complexes and non-Poincare duality of Teichmueller modular groups
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