Differential expansion and rectangular HOMFLY for the figure eight knot
نویسندگان
چکیده
منابع مشابه
Profinite Rigidity, Fibering, and the Figure-eight Knot
We establish results concerning the profinite completions of 3-manifold groups. In particular, we prove that the complement of the figure-eight knot SrK is distinguished from all other compact 3-manifolds by the set of finite quotients of its fundamental group. In addition, we show that if M is a compact 3-manifold with b1(M) = 1, and π1(M) has the same finite quotients as a free-by-cyclic grou...
متن کاملThe Symplectic Floer Homology of the Figure Eight Knot
In this paper, we compute the symplectic Floer homology of the figure eight knot. This provides first nontrivial knot with trivial symplectic Floer homology.
متن کاملConstructing thin subgroups commensurable with the figure-eight knot group
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.
متن کاملComplex hyperbolic geometry of the figure eight knot
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.
متن کاملThe Figure Eight Knot Group is Conjugacy Separable
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.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2016
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2016.08.027