Zobrazeno 1 - 10
of 115
pro vyhledávání: '"McCullough, Darryl"'
The elliptic 3-manifolds are the closed 3-manifolds that admit a Riemannian metric of constant positive curvature, that is, those that have finite fundamental group. The (Generalized) Smale Conjecture asserts that for any elliptic 3-manifold M, the i
Externí odkaz:
http://arxiv.org/abs/1110.4996
Autor:
Cho, Sangbum, McCullough, Darryl
For a genus-1 1-bridge knot in the 3-sphere, that is, a (1,1)-knot, a middle tunnel is a tunnel that is not an upper or lower tunnel for some (1,1)-position. Most torus knots have a middle tunnel, and non-torus-knot examples were obtained by Goda, Ha
Externí odkaz:
http://arxiv.org/abs/1108.3671
Autor:
Cho, Sangbum, McCullough, Darryl
For a genus-1 1-bridge knot in the 3-sphere, that is, a (1,1)-knot, a middle tunnel is a tunnel that is not an upper or lower tunnel for some (1,1)-position. Most torus knots have a middle tunnel, and non-torus-knot examples were obtained by Goda, Ha
Externí odkaz:
http://arxiv.org/abs/1108.3425
Autor:
Johnson, Jesse, McCullough, Darryl
For a Heegaard surface F in a closed orientable 3-manifold M, H(M,F) = Diff(M)/Diff(M,F) is the space of Heegaard surfaces equivalent to the Heegaard splitting (M,F). Its path components are the isotopy classes of Heegaard splittings equivalent to (M
Externí odkaz:
http://arxiv.org/abs/1011.0702
Autor:
Cho, Sangbum, McCullough, Darryl
A knot in the 3-sphere in genus-1 1-bridge position (called a (1,1)-position) can be described by an element of the braid group of two points in the torus. Our main results tell how to translate between a braid group element and the sequence of slope
Externí odkaz:
http://arxiv.org/abs/1006.5232
Autor:
McCullough, Darryl, Soma, Teruhiko
Let M be a closed orientable Seifert fibered 3-manifold with a hyperbolic base 2-orbifold, or equivalently, admitting a geometry modeled on H^2 \times R or the universal cover of SL(2,R). Our main result is that the connected component of the identit
Externí odkaz:
http://arxiv.org/abs/1005.5061
D. Margalit and S. Schleimer found examples of roots of the Dehn twist about a nonseparating curve in a closed orientable surface, that is, homeomorphisms whose nth power is isotopic to the Dehn twist. Our main theorem gives elementary number-theoret
Externí odkaz:
http://arxiv.org/abs/0906.1601
A knot K in 1-bridge position with respect to a genus-g Heegaard surface in a 3-manifold can be moved by isotopy through knots in 1-bridge position until it lies in a union of n parallel genus-g surfaces tubed together by n-1 straight tubes, with K i
Externí odkaz:
http://arxiv.org/abs/0901.1467
Autor:
Cho, Sangbum, McCullough, Darryl
This is the first of three papers that refine and extend portions of our earlier preprint, "Depth of a knot tunnel." Together, they rework the entire preprint. H. Goda, M. Scharlemann, and A. Thompson described a general construction of all tunnels o
Externí odkaz:
http://arxiv.org/abs/0812.1382
Autor:
Cho, Sangbum, McCullough, Darryl
This is the third of three papers that refine and extend portions of our earlier preprint, "The depth of a knot tunnel." Together, they rework the entire preprint. In this paper, we use the theory of tunnel number 1 knots that we introduced in "The t
Externí odkaz:
http://arxiv.org/abs/0812.1396