The trivial connection contribution to Witten’s invariant and finite type invariants of rational homology spheres |
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Authors: | L Rozansky |
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Institution: | (1) Physics Department, University of Miami, P.O. Box 248046, 33124 Coral Gables, FL, USA |
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Abstract: | We derive an analog of the Melvin-Morton bound on the power series expansion of the colored Jones polynomial of algebraically
split links and boundary links. This allows us to produce a simple formula for the trivial connection contribution to Witten’s
invariant of rational homology spheres. We show that then
th term in the 1/K expansion of the logarithm of this contribution is a finite type invariant of Ohtsuki order 3n and of at most Garoufalidis ordern.
Work supported by the National Science Foundation under Grant No. PHY-92 09978. |
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