Invariants of Links and 3-Manifolds From Skein Theory and From Quantum Groups

Morton, HR ORCID: 0000-0002-8524-2695 (1993) Invariants of Links and 3-Manifolds From Skein Theory and From Quantum Groups. In: Topics in Knot Theory. Nato Advanced Science Institutes Series, Series C, Mathematical And Physical Sciences, 399 . Springer Netherlands,Amsterdam, pp. 107-155. ISBN 9789401047425

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Summary

Starting with Kauffman’s bracket polynomial the techniques of linear skein theory are used to present and package a family of polynomial invariants for a framed link. An equivalent family of invariants is derived from representations of the quantum group SU(2)qSpecialisation of the variable q leads to invariants of a 3-manifold defined by surgery on a framed link, in terms of the invariants of the link. A similar programme is outlined relating the invariants constructed from the Homfly polynomial to those derived from the quantum groups SU(k)q

Item Type:	Chapter
Additional Information:	official_url: <Go to ISI>://A1993BA12E00008
Uncontrolled Keywords:	4902 Mathematical Physics, 4904 Pure Mathematics, 49 Mathematical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	26 Nov 2018 09:23
Last Modified:	23 May 2025 05:11
DOI:	10.1007/978-94-011-1695-4_8
Related Websites:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3000534