Three-manifolds, virtual homology, and group determinants

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dc.creatorCooper, Daryl
dc.creatorWalsh, Genevieve S
dc.date2006-03-07
dc.date2009-03-02
dc.date.accessioned2026-07-07T12:47:45Z
dc.date.available2026-07-07T12:47:45Z
dc.descriptionWe apply representation theory to study the homology of equivariant Dehn-fillings of a given finite, regular cover of a compact 3-manifold with boundary a torus. This yields a polynomial which gives the rank of the part of the homology carried by the solid tori used for Dehn-filling. The polynomial is a symmetrized form of the group determinant studied by Frobenius and Dedekind. As a corollary every such hyperbolic 3-manifold has infinitely many virtually Haken Dehn-fillings.
dc.descriptionThis is the version published by Geometry & Topology on 29 November 2006
dc.identifierhttps://arxiv.org/abs/math/0603152
dc.identifierhttp://arxiv.org/abs/math/0603152
dc.identifierGeom. Topol. 10 (2006) 2247-2269
dc.identifierdoi:10.2140/gt.2006.10.2247
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221824
dc.subjectGeometric Topology
dc.subjectRepresentation Theory
dc.subject57M10, 20C10, 57M25
dc.titleThree-manifolds, virtual homology, and group determinants
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