Horizontal Dehn surgery and genericity in the curve complex

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Reducible Dehn Surgery and Annular Dehn Surgery

Let M be a compact, orientable, irreducible, ∂-irreducible, anannular 3manifold with one component T of ∂M a torus. A slope r on T is a T isotopy class of essential, unoriented, simple closed curves on T , and the distance between two slopes r1 and r2, denoted by 4(r1, r2), is the minimal geometric intersection number among all the curves representing the slopes. For a slope r on T , we denote ...

متن کامل

Immersed Surfaces and Dehn Surgery

The problem of how many Dehn fillings on a torus boundary component T of a 3-manifold M will make a closed embedded essential surface F compressible has been settled. A slope β on T is a coannular slope if it is homotopic to some curve on F . As an embedded essential surface, F can have at most one coannular slope. If F has a coannular slope β on T , then by a result of Culler-Gordon-Luecke-Sha...

متن کامل

Combinatorial Methods in Dehn Surgery

This is an expository paper, in which we give a summary of some of the joint work of John Luecke and the author on Dehn surgery. We consider the situation where we have two Dehn llings M() and M() on a given 3-manifold M, each containing a surface that is either essential or a Heegaard surface. We show how a combinatorial analysis of the graphs of intersection of the two corresponding punctured...

متن کامل

Word Hyperbolic Dehn Surgery

In the late 1970’s, Thurston dramatically changed the nature of 3-manifold theory with the introduction of his Geometrisation Conjecture, and by proving it in the case of Haken 3-manifolds [24]. The conjecture for general closed orientable 3-manifolds remains perhaps the most important unsolved problem in the subject. A weaker form of the conjecture [20] deals with the fundamental group of a cl...

متن کامل

Finite Dehn Surgery on Knots

Let K be a knot with a closed tubular neighbourhood N(K) in a connected orientable closed 3-manifold W , such that the exterior of K, M = W − intN(K), is irreducible. We consider the problem of which Dehn surgeries on K, or equivalently, which Dehn fillings on M , can produce 3-manifolds with finite fundamental group. For convenience, a surgery is called a G-surgery if the resultant 3-manifold ...

متن کامل

ذخیره 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

سال: 2010

ISSN: 1753-8416

DOI: 10.1112/jtopol/jtq022