The geometry of k-free hyperbolic 3-manifolds
نویسندگان
چکیده
منابع مشابه
6 K - theory of hyperbolic 3 - manifolds
We introduce an invariant of the hyperbolic 3-manifolds which appears in the K-theory of certain C*-algebras. Namely, such an invariant is essentially an algebraic number field K with a fixed equivalence class of ideals in the ring of integers of K. The C*-algebras in question are the crossed product C*-algebras attached to the monodromy transformation of the 3-manifolds which fiber over the ci...
متن کاملK-theory of hyperbolic 3-manifolds
The subject of present note are relationships between certain class of noncommutative C∗-algebras and geometry of 3-dimensional manifolds which fiber over the circle. We suggest a new classification of such manifolds which is based on the K-theory of a C∗-algebra coming from measured foliations and geodesic laminations studied by Thurston et al. In the first part of the paper a bijection betwee...
متن کاملHyperbolic 3-manifolds and the geometry of the curve complex
We give a brief survey of some recent work on 3-manifolds, notably towards proving Thurston’s ending lamination conjecture. We describe some applications to the theory of surfaces and mapping class groups.
متن کاملThe geometry and topology of arithmetic hyperbolic 3-manifolds
This paper is based on three lectures given by the author at the RIMS Symposium, “Topology, Complex Analysis and Arithmetic of Hyperbolic Spaces” held at the Research Institute for Mathematical Sciences, Kyoto University, in December 2006. The goal of the lectures was to describe recent work on understanding topological and geometric properties of arithmetic hyperbolic 3-manifolds, and the conn...
متن کاملGeometry and Rank of Fibered Hyperbolic 3-manifolds
Recall that the rank of a finitely generated group is the minimal number of elements needed to generate it. In [Whi02], M. White proved that the injectivity radius of a closed hyperbolic 3-manifold M is bounded above by some function of rank(π1(M)). Building on a technique that he introduced, we determine the ranks of the fundamental groups of a large class of hyperbolic 3-manifolds fibering ov...
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: Journal of Topology and Analysis
سال: 2019
ISSN: 1793-5253,1793-7167
DOI: 10.1142/s1793525320500016