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Patterns and Stability in the Coeffi...

Walsh, Katherine.

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Patterns and Stability in the Coefficients of the Colored Jones Polynomial.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Patterns and Stability in the Coefficients of the Colored Jones Polynomial./
Author:	Walsh, Katherine.
Description:	95 p.
Notes:	Source: Dissertation Abstracts International, Volume: 75-10(E), Section: B.
Contained By:	Dissertation Abstracts International75-10B(E).
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3626017
ISBN:	9781321005295

Patterns and Stability in the Coefficients of the Colored Jones Polynomial.
Walsh, Katherine.

Patterns and Stability in the Coefficients of the Colored Jones Polynomial. - 95 p.

Source: Dissertation Abstracts International, Volume: 75-10(E), Section: B.

Thesis (Ph.D.)--University of California, San Diego, 2014.

This item must not be sold to any third party vendors.

The colored Jones polynomial assigns to each knot a sequence of Laurent polynomials. This dissertation will focus on the patterns in the coefficients of these polynomials. We will discuss a new formula for calculating the colored Jones polynomial of certain pretzel knots and the stabilization and higher-order stabilization of the coefficients, specifically discussing what the second N coefficients of the N colored Jones polynomial of certain knots stabilize to. We will also look at patterns in the middle coefficients and explore a new way of looking at the colored Jones polynomials of amphichiral knots.

ISBN: 9781321005295Subjects--Topical Terms:

515831
Mathematics.

Patterns and Stability in the Coefficients of the Colored Jones Polynomial.
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100 1 $a Walsh, Katherine. $3 3173540
245 1 0 $a Patterns and Stability in the Coefficients of the Colored Jones Polynomial.
300 $a 95 p.
500 $a Source: Dissertation Abstracts International, Volume: 75-10(E), Section: B.
500 $a Adviser: Justin D. Roberts.
502 $a Thesis (Ph.D.)--University of California, San Diego, 2014.
506 $a This item must not be sold to any third party vendors.
520 $a The colored Jones polynomial assigns to each knot a sequence of Laurent polynomials. This dissertation will focus on the patterns in the coefficients of these polynomials. We will discuss a new formula for calculating the colored Jones polynomial of certain pretzel knots and the stabilization and higher-order stabilization of the coefficients, specifically discussing what the second N coefficients of the N colored Jones polynomial of certain knots stabilize to. We will also look at patterns in the middle coefficients and explore a new way of looking at the colored Jones polynomials of amphichiral knots.
590 $a School code: 0033.
650 4 $a Mathematics. $3 515831
690 $a 0405
710 2 $a University of California, San Diego. $b Mathematics. $3 1022364
773 0 $t Dissertation Abstracts International $g 75-10B(E).
790 $a 0033
791 $a Ph.D.
792 $a 2014
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3626017