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