Incompressible surfaces in link complements
نویسندگان
چکیده
منابع مشابه
Incompressible Surfaces in Link Complements
A link L in S has a 2n-plat projection for some n, as shown in Figure 1, where a box on the i-th row and j-th column consists of 2 vertical strings with aij left-hand half twist; in other words, it is a rational tangle of slope 1/aij. See for example [BZ]. Let n be the number of boxes in the even rows, so there are n − 1 boxes in the odd rows. Let m be the number of rows in the diagram. It was ...
متن کاملC-incompressible Planar Surfaces in Link and Tangle Complements
In [6] Wu shows that if a link or a knot L in S3 in thin position has thin spheres, then the thin sphere of lowest width is an essential surface in the link complement. In this paper we show that if we further assume that L ⊂ S3 is prime, then the thin sphere of lowest width also does not have any cut-disks. We also prove the result for a specific kind of tangles in S2× [−1, 1].
متن کاملIncompressible surfaces in 2-bridge knot complements
To each rational number p/q, with q odd, there is associated the 2-bridge knot Kp/q shown in Fig. 1. QI bl Fig. 1. The 2-bridge knot Kp/q In (a), the central grid consists of lines of slope +p/q, which one can imagine as being drawn on a square "pillowcase". In (b) this "pillowcase" is punctured and flattened out onto a plane, making the two "bridges" more evident. The knot drawn is K3/5, which...
متن کاملC-incompressible Planar Surfaces in Knot Complements
In [6] Wu shows that if a link or a knot L in S3 in thin position has thin spheres, then the thin sphere of lowest width is an essential surface in the link complement. In this paper we show that if we further assume that L ⊂ S3 is prime, then the thin sphere of lowest width also does not have any cut-disks. We also prove an analogous result for a specific kind of tangles in
متن کاملEssential Twisted Surfaces in Alternating Link Complements
Checkerboard surfaces in alternating link complements are used frequently to determine information about the link. However, when many crossings are added to a single twist region of a link diagram, the geometry of the link complement stabilizes (approaches a geometric limit), but a corresponding checkerboard surface increases in complexity with crossing number. In this paper, we generalize chec...
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: Proceedings of the American Mathematical Society
سال: 2001
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-01-05938-x