1-bridge braids in solid tori
نویسندگان
چکیده
منابع مشابه
The Classification of Dehn Fillings on the Outer Torus of a 1-bridge Braid Exterior Which Produce Solid Tori
Let K = K(w, b, t) be a 1-bridge braid in a solid torus V , and let γ be a (p, q) curve on the torus T = ∂V of the exterior MK of K. It will be shown that Dehn filling on T along γ produces a solid torus if and only if p and q satisfy one of four conditions determined by the parameters (w, b, t) of the knot K. This solves the classification problem raised by Menasco and Zhang for such Dehn fill...
متن کاملContact Topology and Hydrodynamics Ii: Solid Tori
We prove the existence of periodic orbits for steady realanalytic Euler flows on all Riemannian solid tori. By using the correspondence theorem from part I of this series, we reduce the problem to the Weinstein Conjecture for solid tori. We prove the Weinstein Conjecture on the solid torus via a combination of results due to Hofer et al. and a careful analysis of tight contact structures on sol...
متن کاملGEOMETRY OF 1-TORI IN GLn
We describe the orbits of the general linear group GL(n, T ) over a skew field T acting by simultaneous conjugation on pairs of 1-tori, i.e., subgroups conjugate to diag(T ∗, 1, . . . , 1), and identify the corresponding spans. We also provide some applications of these results to the description of intermediate subgroups and generation. These results were partly superseded by A. Cohen, H. Cuyp...
متن کاملReflection equation and link polynomials for arbitrary genus solid tori
The correspondence between the braid group on a solid torus of arbitrary genus and the algebra of Yang-Baxter and reflection equation operators is shown. A representation of this braid group in terms of R-matrices is given. The characteristic equation of the reflection equation matrix is considered as an additional skein relation. This could lead to an intrinsic definition of invariant link pol...
متن کاملBraids in classical dynamics.
Point masses moving in 2+ I dimensions draw out braids in space-time. If they move under the inAuence of some pairwise potential, what braid types are possible? By starting with fictional paths of the desired topology and "relaxing" them by minimizing the action, we explore the braid types of potentials of the form V(x'r' from a ~ —2, where all braid types occur, to a =2, where the system is in...
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: Topology and its Applications
سال: 1990
ISSN: 0166-8641
DOI: 10.1016/0166-8641(90)90021-s