Abstract
In this paper we shall discuss some of the isomorphisms established between the approach to conformal field theory on P1 of [TK], and the topological construction of braid group representations of [L 1]. These approaches both lead, in the simplest cases, to the one-variable Jones polynomial invariant of links, but can be generalised to give other invariants. The case of higher spin representations of sl2 is discussed from the point of view of both approaches, and is used to re-interpret the well known connection with cabled links. The structure of the braid group representation obtained is also discussed in both the spin- 1/2 and higher spin cases, and is extended to give a representation of the category of tangles.
The author is a Junior Fellow of the Society of Fellows
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© 1991 Springer-Verlag
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Lawrence, R.J. (1991). Connections between CFT and topology via Knot theory. In: Bartocci, C., Bruzzo, U., Cianci, R. (eds) Differential Geometric Methods in Theoretical Physics. Lecture Notes in Physics, vol 375. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53763-5_62
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DOI: https://doi.org/10.1007/3-540-53763-5_62
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