Title
THE JONES POLYNOMIAL: A Recurrence Relation Approach,Used
Delivery time: 8-12 business days (International)
The main problem of knot theory is to differentiate knots. To distinguish knots one needs a knot invariant, which is a function that gives a single value on isotopic knots. The first step toward finding knot invariants was made by Reidemeister by introducing the Reidemeister moves. Even before the discovery of the Reidemeister moves, Alexander defined geometrically a polynomial knot invariant which was later defined by Conway in 1970 in terms of a skein relation. In 1985, V. F. R. Jones revolutionized the knot theory by defining the Jones polynomial as a knot invariant. However, in 1987 L. H. Kauffman introduced a statsum model construction of the Jones polynomial that was purely combinatorial and remarkably simple. Our contribution to knot theory includes a general recurrence relation for the Jones polynomial that helps in proving many qualitative results and an expansion formula that drastically reduces the computations in calculating Jones polynomials. We hope this work is not only useful for people who work in classical knot theory but also for people who work in virtual knot theory.
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Shipping & Returns
Shipping
We ship your order within 2–3 business days for USA deliveries and 5–8 business days for international shipments. Once your package has been dispatched from our warehouse, you'll receive an email confirmation with a tracking number, allowing you to track the status of your delivery.
Returns
To facilitate a smooth return process, a Return Authorization (RA) Number is required for all returns. Returns without a valid RA number will be declined and may incur additional fees. You can request an RA number within 15 days of the original delivery date. For more details, please refer to our Return & Refund Policy page.
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Warranty
We provide a 2-year limited warranty, from the date of purchase for all our products.
If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.
This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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Your payment information is processed securely. We do not store credit card details nor have access to your credit card information.
We accept payments with :
Visa, MasterCard, American Express, Paypal, Shopify Payments, Shop Pay and more.