2025 - Sustainable Industrial Processing Summit
SIPS2025 Volume 3. Kauffman Intl. Symp. / Mathematics

Editors:F. Kongoli, A. Bountis, M. Johnson, S. Karam, P. Mandell, M. Mikalajunas, W. Miller, G. Ord, P. Rowlands, R.M. Santilli, E. Suhir, E. Trell, T. Vougiouklis
Publisher:Flogen Star OUTREACH
Publication Year:2025
Pages:214 pages
ISBN:978-1-998384-42-6 (CD)
ISSN:2291-1227 (Metals and Materials Processing in a Clean Environment Series)
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    KNOTS AND APPLICATIONS – TALK NUMBER 1

    Louis Kauffman1;
    1UNIVERSITY OF ILLINOIS AT CHICAGO, Chicago, United States;
    Type of Paper: Regular
    Id Paper: 319
    Topic: 38

    Abstract:

    These talks are a short introduction to knot theory from a combinatorial point of view and with an eye towards applications to Natural Science.  The talks are self-contained and form a short introductory course in knot theory.

    1. Introduction to knots and unknots, Reidemeister moves, linking numbers, Fox coloring to detect knotting and linking. Rational tangles and fractions via coloring. Link,Twist, Writhe and DNA.

    Keywords:

    knot theory; knots; unknots; Reidemeister moves; linking numbers; tangles; rational tangles; writhe; DNA; Kauffman bracket polynomial; Khovanov Homology; Rasmussen invariant

    Cite this article as:

    Kauffman L. (2024). KNOTS AND APPLICATIONS – TALK NUMBER 1. In F. Kongoli, A. Bountis, M. Johnson, S. Karam, P. Mandell, M. Mikalajunas, W. Miller, G. Ord, P. Rowlands, R.M. Santilli, E. Suhir, E. Trell, T. Vougiouklis (Eds.), Sustainable Industrial Processing Summit Volume 3 Kauffman Intl. Symp. / Mathematics (pp. 131-132). Montreal, Canada: FLOGEN Star Outreach