Algebraic tangles and Jones polynomial
We develop a method for computing Kauffman bracket and Jones polynomial for algebraic tangles and their numerator closures. We also introduce the notion of connectivity type of pretzel tangles and give a way of computing it. Several examples are given.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2020-03-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844020304321 |
| _version_ | 1818924738601287680 |
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| author | Khaled Bataineh Nabil Al Asmer |
| author_facet | Khaled Bataineh Nabil Al Asmer |
| author_sort | Khaled Bataineh |
| collection | DOAJ |
| description | We develop a method for computing Kauffman bracket and Jones polynomial for algebraic tangles and their numerator closures. We also introduce the notion of connectivity type of pretzel tangles and give a way of computing it. Several examples are given. |
| first_indexed | 2024-12-20T02:30:06Z |
| format | Article |
| id | doaj.art-5333431384ac443c9f1e804fc77ace77 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-12-20T02:30:06Z |
| publishDate | 2020-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-5333431384ac443c9f1e804fc77ace772022-12-21T19:56:35ZengElsevierHeliyon2405-84402020-03-0163e03587Algebraic tangles and Jones polynomialKhaled Bataineh0Nabil Al Asmer1Corresponding author.; Jordan University of Science and Technology, Irbid, JordanJordan University of Science and Technology, Irbid, JordanWe develop a method for computing Kauffman bracket and Jones polynomial for algebraic tangles and their numerator closures. We also introduce the notion of connectivity type of pretzel tangles and give a way of computing it. Several examples are given.http://www.sciencedirect.com/science/article/pii/S2405844020304321MathematicsKnotsTanglesJones polynomialKauffman bracket |
| spellingShingle | Khaled Bataineh Nabil Al Asmer Algebraic tangles and Jones polynomial Heliyon Mathematics Knots Tangles Jones polynomial Kauffman bracket |
| title | Algebraic tangles and Jones polynomial |
| title_full | Algebraic tangles and Jones polynomial |
| title_fullStr | Algebraic tangles and Jones polynomial |
| title_full_unstemmed | Algebraic tangles and Jones polynomial |
| title_short | Algebraic tangles and Jones polynomial |
| title_sort | algebraic tangles and jones polynomial |
| topic | Mathematics Knots Tangles Jones polynomial Kauffman bracket |
| url | http://www.sciencedirect.com/science/article/pii/S2405844020304321 |
| work_keys_str_mv | AT khaledbataineh algebraictanglesandjonespolynomial AT nabilalasmer algebraictanglesandjonespolynomial |