The Granny and the Square Tangle and the Unknotting Number

نویسنده

  • A. Stoimenow
چکیده

We show that a knot with a diagram with n granny and square tangles has unknotting number at least n, bridge number > n, and braid index > n. As an application, we construct exponentially many in the crossing number slice knots with arbitrarily high unknotting number.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Knots with Unknotting Number 1 and Essential Conway Spheres

For a knot K in S, let T(K) be the characteristic toric sub-orbifold of the orbifold (S, K) as defined by Bonahon-Siebenmann. If K has unknotting number one, we show that an unknotting arc for K can always be found which is disjoint from T(K), unless either K is an EM-knot (of Eudave-Muñoz) or (S,K) contains an EM-tangle after cutting along T(K). As a consequence, we describe exactly which larg...

متن کامل

Modeling protein-DNA complexes with tangles

The mathematics of tangles has been applied to model protein-DNA binding. A tangle consists of strings properly embedded in a 3-dimensional ball. The protein complex can be thought of as a 3D ball while the DNA segments bound by the protein complex can be thought of as strings embedded within the ball. This simple model can be used to determine the topology of proteinbound DNA. We review some t...

متن کامل

Unexpected connections between Burnside groups and knot theory.

In classical knot theory and the theory of quantum invariants substantial effort was directed toward the search for unknotting moves on links. We solve, in this article, several classical problems concerning unknotting moves. Our approach uses a concept, Burnside groups of links, that establishes an unexpected relationship between knot theory and group theory. Our method has the potential to be...

متن کامل

اثر پاکت‌گذاری بر صفات کمی و کیفی میوه دو رقم سیب (Malus domestica Borkh) ‘فوجی’ و ‘گرانی‌اسمیت’

Apple fruit color is determined by the amount of pigments in its peel which is directly affected by sunlight.  A method for improving apple fruit color is bagging. In present study, the effect of bagging and its optimum removing time was investigated on the amount of peel pigments and other fruit quantitative and qualitative characteristics for Fuji and Granny Smith apples. The experimental tre...

متن کامل

Evaluation the Preharvest Application of Iron and Nitrogen on Some Qualitative Characteristics of Two Apple Cultivars during Cold Storage

Apple is one of the most important fruits in temperate zones with a long post-harvest life during cold storage. A factorial experiment, in a randomized completely block design was used to investigate the preharvest application of Iron (0, 500 and 1000 mg Fe-EDDHA per tree) and nitrogen (0, 48 and 96 g ammonium nitrate per tree( on some postharvest qualitative characteristics in "Red spur" and "...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1999