Spelling suggestions: "subject:"montes""
1 |
On the Breadth of the Jones Polynomial for Certain Classes of Knots and LinksLorton, Cody 01 May 2009 (has links)
The problem of finding the crossing number of an arbitrary knot or link is a hard problem in general. Only for very special classes of knots and links can we solve this problem. Often we can only hope to find a lower bound on the crossing number Cr(K) of a knot or a link K by computing the Jones polynomial of K, V(K). The crossing number Cr(K) is bounded from below by the difference between the greatest degree and the smallest degree of the polynomial V(K). However the computation of the Jones polynomial of an arbitrary knot or link is also difficult in general. The goal of this thesis is to find closed formulas for the smallest and largest exponents of the Jones polynomial for certain classes of knots and links. This allows us to find a lower bound on the crossing number for these knots and links very quickly. These formulas for the smallest and largest exponents of the Jones polynomial are constructed from special rational tangles expansions and using these formulas, we can extend these results to for [sic] special cases of Montesinos knots and links.
|
2 |
A Volume Bound for Montesinos LinksFinlinson, Kathleen Arvella 01 March 2014 (has links) (PDF)
The hyperbolic volume of a knot complement is a topological knot invariant. Futer, Kalfagianni, and Purcell have estimated the volumes of Montesinos link complements for Montesinos links with at least three positive tangles. Here we extend their results to all hyperbolic Montesinos links.
|
3 |
Calculating knot distances and solving tangle equations involving Montesinos linksMoon, Hyeyoung 01 December 2010 (has links)
My research area is applications of topology to biology, especially DNA topology. DNA topology studies the shape and path of DNA in three dimensional space. My thesis relates to the study of DNA topology in a protein-DNA complex by solving tangle equations and calculating distances between DNA knots.
|
4 |
Quandle coloring conditions and zeros of the Alexander polynomials of Montesinos links / カンドル彩色条件とモンテシノス絡み目のアレキサンダー多項式の零点Ishikawa, Katsumi 25 March 2019 (has links)
京都大学 / 0048 / 新制・課程博士 / 博士(理学) / 甲第21536号 / 理博第4443号 / 新制||理||1639(附属図書館) / 京都大学大学院理学研究科数学・数理解析専攻 / (主査)教授 大槻 知忠, 教授 向井 茂, 教授 小野 薫 / 学位規則第4条第1項該当 / Doctor of Science / Kyoto University / DFAM
|
Page generated in 0.1079 seconds