A Dehn surgery description of regular finite cyclic covering spaces of rational homology spheres

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dc.creatorCurtis, Cynthia L.
dc.date2000-05-09
dc.date2000-07-25
dc.date.accessioned2026-07-07T04:35:06Z
dc.date.available2026-07-07T04:35:06Z
dc.descriptionWe provide related Dehn surgery descriptions for rational homology spheres and a class of their regular finite cyclic covering spaces. As an application, we use the surgery descriptions to relate the Casson invariants of the covering spaces to that of the base space. Finally, we show that this places restrictions on the number of finite and cyclic Dehn fillings of the knot complements in the covering spaces beyone those imposed by Culler-Gordon-Luecke-Shalen and Boyer-Zhang.
dc.descriptionAmmended version with corrections to original and additional appendix on Alexander polynomials
dc.identifierhttps://arxiv.org/abs/math/0005080
dc.identifierhttp://arxiv.org/abs/math/0005080
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59150
dc.subjectGeometric Topology
dc.subject57M10, 57M25, 57M27
dc.titleA Dehn surgery description of regular finite cyclic covering spaces of rational homology spheres
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