Lantern relations and rational blowdowns

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dc.creatorEndo, Hisaaki
dc.creatorGurtas, Yusuf Z.
dc.date2008-08-04
dc.date.accessioned2026-07-07T09:54:32Z
dc.date.available2026-07-07T09:54:32Z
dc.descriptionWe discuss a connection between the lantern relation in mapping class groups and the rational blowing down process for 4-manifolds. More precisely, if we change a positive relator in Dehn twist generators of the mapping class group by using a lantern relation, the corresponding Lefschetz fibration changes into its rational blowdown along a copy of the configuration C_2. We exhibit examples of such rational blowdowns of Lefschetz fibrations whose blowup is homeomorphic but not diffeomorphic to the original fibration.
dc.description10 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/0808.0386
dc.identifierhttp://arxiv.org/abs/0808.0386
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166346
dc.subjectGeometric Topology
dc.subject57R17; 57N13
dc.titleLantern relations and rational blowdowns
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