Toledo Invariants of Higgs Bundles on Elliptic Surfaces Associated to Base Orbifolds of Seifert Fibered Homology 3-spheres
نویسنده
چکیده
To 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.
منابع مشابه
Seifert Fibered Homology 3 - Spheres Mike Krebs
To 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.” Using the theory of Higgs bundles, we explicitly compute all values this invariant takes on.
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