Meridional Almost Normal Surfaces in Knot Complements

نویسنده

  • ROBIN T. WILSON
چکیده

Suppose K is a knot in a closed 3-manifold M such that M −N(K) is irreducible. We show that for any integer b there exists a triangulation of M −N(K) such that any weakly incompressible bridge surface for K of b bridges or fewer is isotopic to an almost normal bridge surface.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Non-parallel Essential Surfaces in Knot Complements

We show that if a knot or link has n thin levels when put in thin position then its exterior contains a collection of n disjoint, non-parallel, planar, meridional, essential surfaces. A corollary is that there are at least n/3 tetrahedra in any triangulation of the complement of such a knot.

متن کامل

Totally Geodesic Seifert Surfaces in Hyperbolic Knot and Link Complements I Colin Adams and Eric Schoenfeld

The first examples of totally geodesic Seifert surfaces are constructed for hyperbolic knots and links, including both free and totally knotted surfaces. Then it is proved that two bridge knot complements cannot contain totally geodesic orientable surfaces.

متن کامل

Closed Incompressible Surfaces of Genus Two in 3-bridge Knot Complements

In this paper, we characterize closed incompressible surfaces of genus two in the complements of 3-bridge knots and links. This characterization includes that of essential 2-string tangle decompositions for 3-bridge knots and links.

متن کامل

Hyperbolic Knot Complements without Closed Embedded Totally Geodesic Surfaces

It is conjectured that a hyperbolic knot complement does not contain a closed embedded totally geodesic surface. In this paper, we show that there are no such surfaces in the complements of hyperbolic 3-bridge knots and double torus knots. Some topological criteria for a closed essential surface failing to be totally geodesic are given. Roughly speaking, sufficiently ‘complicated’ surfaces can ...

متن کامل

Totally Geodesic Seifert Surfaces in Hyperbolic Knot and Link Complements Ii

We generalize the results of [AS], finding large classes of totally geodesic Seifert surfaces in hyperbolic knot and link complements, each the lift of a rigid 2-orbifold embedded in some hyperbolic 3-orbifold. In addition, we provide a uniqueness theorem and demonstrate that many knots cannot possess totally geodesic Seifert surfaces by giving bounds on the width invariant in the presence of s...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008