Incompressibility criteria for spun-normal surfaces
نویسندگان
چکیده
منابع مشابه
Incompressibility Criteria for Spun-normal Surfaces
We give a simple sufficient condition for a spun-normal surface in an ideal triangulation to be incompressible, namely that it is a vertex surface with nonempty boundary which has a quadrilateral in each tetrahedron. While this condition is far from being necessary, it is powerful enough to give two new results: the existence of alternating knots with noninteger boundary slopes, and a proof of ...
متن کاملOn spun-normal and twisted squares surfaces
Yoshida in [6] and Tillmann in [3] describe di erent methods of producing surfaces within a 3-manifoldM with boundary from ideal points of the deformation variety of M , given a particular ideal tetrahedralisation of M . The Yoshida construction builds a surface from twisted squares within the tetrahedra, the Tillmann construction results in a spun-normal surface relative to the tetrahedra. In ...
متن کاملIncompressibility and Least-area Surfaces
We show that if F is a smooth, closed, orientable surface embedded in a closed, orientable 3-manifold M such that for each Riemannian metric g on M , F is isotopic to a least-area surface F (g), then F is incompressible.
متن کاملIncompressibility of Surfaces in Surgered 3-Manifolds
The problem we consider in this paper was raised in [3]. Suppose T is a torus on the boundary of an orientable 3-manifold X, and S is a surface on ∂X − T which is incompressible in X. A slope γ is the isotopy class of a nontrivial simple closed curve on T . Denote by X(γ) the manifold obtained by attaching a solid torus to X so that γ is the slope of the boundary of a meridian disc. Given two s...
متن کاملOptimal thresholds criteria for ROC surfaces
Consider the ROC surface which is a generalization of the ROC curve for three−class diagnostic problems. In this work, we propose five criteria for the three−class ROC surface by extending the Youden index, the sum of sensitivity and specificity, the maximum vertical distance, the amended closest-to-(0,1) and the true rate. It may be concluded that these five criteria can be expressed as a func...
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: Transactions of the American Mathematical Society
سال: 2012
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2012-05663-7