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The Universal Vassiliev Invariant for the Lie Superalgebra |
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| Authors: | José M Figueroa-O'Farrill Takashi Kimura Arkady Vaintrob |
| Institution: | Department of Physics, Queen Mary and Westfield College, London E1 4NS, UK.?E-mail: j.m.figueroa@qmw.ac.uk, UK Department of Mathematics, Boston University, 111 Cummington Street, Boston, MA 02215, USA.?E-mail: kimura@math.bu.edu, US Department of Mathematics, University of Utah, Salt Lake City, UT 84112, USA.?E-mail: vaintrob@math.utah.edu, US |
| Abstract: | We compute the universal weight system for Vassiliev coming from the Lie superalgebra applying the construction of 13]. This weight system is a function from the space of chord diagrams to the center Z of the universal enveloping algebra of , and we find a combinatorial expression for it in terms of the standard generators of Z. The resulting knot invariants generalize the Alexander-Conway polynomial. Received: 4 July 1996 / Accepted: 21 August 1996 |
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