Calculating the 2-variable polynomial for knots presented as closed braids

Morton, HR ORCID: 0000-0002-8524-2695 and Short, HB (1990) Calculating the 2-variable polynomial for knots presented as closed braids Journal of Algorithms, 11 (1). pp. 117-131. ISSN 0196-6774

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Abstract

An account is given of the calculation of the 2-variable polynomial for an oriented knot or link from its presentation as a closed braid, including the theoretical background and the resulting algorithm for computer implementation, together with its practical limitations. © 1990.

Item Type:	Article
Additional Information:	This is the final typewritten version of the paper giving the details of the efficient calculational algorithm using the Hecke algebra to find the Homfly polynomial (here called the 2-variable polynomial) from a closed braid.
Uncontrolled Keywords:	Homfly polynomial, Hecke algebra, braid presentation, polynomial time, calculation algorithm
Depositing User:	Symplectic Admin
Date Deposited:	26 Jan 2016 14:30
Last Modified:	28 Feb 2026 23:40
DOI:	10.1016/0196-6774(90)90033-B
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/2048700
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