No description available.

The results presented in this thesis pertain to two distinct areas of low-dimensional topology. First, we give a classification of small Seifert fibered surgeries on hyperbolic pretzel knots, as well as a near-classification of small Seifert fibered surgeries on hyperbolic Montesinos knots. Along with recent results of Ichihara-Masai [IM13], these results complete the classification of all exceptional Dehn surgeries on arborescent knots. Second, we exhibit an infinite family of smoothly slice knots that are topologically doubly slice, but not smoothly doubly slice. A subfamily of these knots is then used to show that the subgroup of the smooth double concordance group consisting of topologically doubly slice knots is infinitely generated. One corollary of these results is that there exist infinitely many rational homology 3-spheres (with nontrivial first homology) that embed topologically, but not smoothly, into the 4-sphere. / text

No description available.

Thesis (M.S.)--University of Nevada, Reno, 2006. / "May, 2006." Includes bibliographical references (leaf 40). Online version available on the World Wide Web.

Thesis (M.S.)--Duquesne University, 2005. / Title from document title page. Abstract included in electronic submission form. Includes bibliographical references (p. 31) and index.

Honors Project--Smith College, Northampton, Mass., 2010. / Includes bibliographical references (p. 64-65).

Thesis (Ph. D.)--University of Wisconsin--Madison, 1983. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 52-55).

Thesis (Ph.D.)--University of Texas at Dallas, 2007. / Includes vita. Includes bibliographical references (leaves 106-108)

In 1984, T. Kobayashi gave a classification of the genus two 3-manifolds with a nontrivial torus decomposition. The intent of this study is to extend this classification to the genus two, torally bounded 3-manifolds with a separating non-trivial torus decomposition. These 3-manifolds are also known as the tunnel-1 generalized satellite knot exteriors. The main result of the study is a full decomposition of the exterior of a tunnel-1 satellite knot in an arbitrary 3-manifold. Several corollaries are drawn from this classification. First, Schubert's 1953 results regarding the existence and uniqueness of a core component for satellite knots in the 3-sphere is extended to tunnel-1 satellite knots in arbitrary 3-manifolds. Second, Morimoto and Sakuma's 1991 classification of tunnel-1 satellite knots in the 3-sphere is extended to a classification of the tunnel-1 satellite knots in lens spaces. Finally, for these knot exteriors, a result of Eudave-Muñoz in 1994 regarding the relative position of tunnels and decomposing tori is recovered.

The goal of this paper is to find the Homfly polynomial for each knot in a specific family of knots. This family of knots is generated from placing the Whitehead link into a solid torus, slicing the torus at a spot where the Whitehead has no crossings and then twisting the torus 360 degrees in either direction an integral number of times. Let L(n) denote the knot obtained by twisting the torus 360 degrees, n times. Note that n is an integer. Let the twists be towards the center of the torus for positive n and away from the center for negative n. Through the obtained Homfly polynomials, it will be determined that each of the knots in this family are distinct and non-trivial (excepting the Whitehead link).