Toledo invariants of Higgs bundles on elliptic surfaces associated to base orbifolds of Seifert fibered homology 3-spheres

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dc.creatorKrebs, Mike
dc.date2005-03-23
dc.date2006-03-04
dc.date.accessioned2026-07-07T06:39:39Z
dc.date.available2026-07-07T06:39:39Z
dc.descriptionTo each connected component in the space of semisimple representations from the orbifold fundamental group of the base orbifold of a Seifert fibered homology 3-sphere into the Lie group U(2,1), we associate a real number called the "orbifold Toledo invariant." For each such orbifold, there exists an elliptic surface over it, called a Dolgachev surface. Using the theory of Higgs bundles on these Dolgachev surfaces, we explicitly compute all values taken on by the orbifold Toledo invariant.
dc.description39 pages; replacement contains alternate proofs of verticality
dc.identifierhttps://arxiv.org/abs/math/0503509
dc.identifierhttp://arxiv.org/abs/math/0503509
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101155
dc.subjectGeometric Topology
dc.subjectAlgebraic Geometry
dc.subject14D20, 57M50
dc.titleToledo invariants of Higgs bundles on elliptic surfaces associated to base orbifolds of Seifert fibered homology 3-spheres
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