On hyperbolic knots with the same m-fold and n-fold cyclic branched coverings
نویسندگان
چکیده
منابع مشابه
Strongly invertible knots, rational-fold branched coverings and hyperbolic spatial graphs
A construction of a spatial graph from a strongly invertible knot was developed by the second author, and a necessary and sufficient condition for the given spatial graph to be hyperbolic was provided as well. The condition is improved in this paper. This enable us to show that certain classes of knots can yield hyperbolic spatial graphs via the construction.
متن کاملHyperbolic 2-fold Branched Coverings of Links and Their Quotients
Many 3-manifolds can be represented as 2-fold branched coverings of links, but this representation is, in general, not unique. In the Seifert fibered case the problem is usually local: For example, if K is a Montesinos knot its 2-fold branched covering is Seifert fibered and there exists a complete system of local geometric modifications on K by which we can get every other Montesinos knot with...
متن کاملOn cyclic branched coverings of prime knots
The Torelli subgroup of Out(Fn) Mladen Bestvina, Utah The group in the title is the kernel of the natural map Out(Fn) –> GLn(Z). As for the classical mapping class group counterparts (except for the work of Mess in low genus), the basic features such as the dimension and finiteness properties are unknown. I will describe an approach to an understanding to these groups that leads to a complete s...
متن کاملHidden Symmetries of Cyclic Branched Coverings of 2-bridge Knots
We consider hyperbolic 3-manifolds Mn(K), which are nfold cyclic branched coverings of 2-bridge knots K. We show that for n ≥ 5 the orientation-preserving isometry group of Mn(K) either is a lift of a symmetry group of K or has a very special structure.
متن کاملSTRONGLY-CYCLIC BRANCHED COVERINGS OF KNOTS VIA (g, 1)-DECOMPOSITIONS
Strongly-cyclic branched coverings of knots are studied by using their (g, 1)-decompositions. Necessary and sufficient conditions for the existence and uniqueness of such coverings are obtained. It is also shown that their fundamental groups admit geometric g-words cyclic presentations.
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: Topology and its Applications
سال: 1997
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(96)00173-3