Convex foliated projective structures and the Hitchin component for PSL4(R)
نویسندگان
چکیده
منابع مشابه
Convex Foliated Projective Structures and the Hitchin Component for Psl4(r)
In this article we give a geometric interpretation of the Hitchin component T (Σ) ⊂ Rep(π1(Σ),PSL4(R)) of a closed oriented surface of genus g ≥ 2. We show that representations in T (Σ) are precisely the holonomy representations of properly convex foliated projective structures on the unit tangent bundle of Σ. From this we also deduce a geometric description of the Hitchin component T (Σ, Sp4(R...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2008
ISSN: 0012-7094
DOI: 10.1215/00127094-2008-040