A fundamental polyhedron for the figure-eight knot group
نویسندگان
چکیده
منابع مشابه
The fundamental group of the double of the figure eight knot exterior is GFERF
We prove that the fundamental group of the double of the gure eight knot exterior admits a faithful discrete representation into SO(4; 1; R) for which the image group is separable on its geometrically nite subgroups. 2000 Mathematics Subject Classiication 20H10
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In this paper we find infinitely many lattices in SL(4,R) each of which contains thin subgroups commensurable with the figure-eight knot group.
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We prove that torsion free subgroups of PGL2(C) (abstractly) commensurable with the Euclidean Bianchi groups are conjugacy separable. As a consequence we deduce the result stated in the title.
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In this paper, we compute the symplectic Floer homology of the figure eight knot. This provides first nontrivial knot with trivial symplectic Floer homology.
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We show that the figure eight knot complement admits a uniformizable spherical CR structure, i.e. it occurs as the manifold at infinity of a complex hyperbolic orbifold. The uniformization is unique provided we require the peripheral subgroups to have unipotent holonomy.
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2005
ISSN: 0166-8641
DOI: 10.1016/j.topol.2002.10.001