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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Text
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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 |
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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: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3000534 |