Chern-Simons theory, coloured-oriented braids and link invariants

Kaul, R. K. (1994) Chern-Simons theory, coloured-oriented braids and link invariants Communications in Mathematical Physics, 162 (2). pp. 289-319. ISSN 0010-3616

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Official URL: http://www.springerlink.com/content/x7324wr10q4342...

Related URL: http://dx.doi.org/10.1007/BF02102019

Abstract

A method to obtain explicit and complete topological solution of SU(2) Chern-Simons theory on S3 is developed. To this effect the necessary aspects of the theory of coloured-oriented braids and duality properties of conformal blocks for the correlators of SU(2)k Wess-Zumino conformal field theory are presented. A large class of representations of the generators of the groupoid of coloured-oriented braids are obtained. These provide a whole lot of new link invariants of which Jones polynomials are the simplest examples. These new invariants are explicity calculated as illustrations for knots up to eight crossings and twocomponent multicoloured links up to seven crossings.

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ID Code:16390
Deposited On:15 Nov 2010 13:44
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