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A universal U(1)-RCC invariant of links and rationality conjecture

L. Rozansky
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Abstract

We define a graph algebra version of the stationary phase integration over the coadjoint orbits in the Reshetikhin formula for the colored Jones-HOMFLY polynomial. As a result, we obtain a `universal' U(1)-RCC invariant of links in rational homology spheres, which determines the U(1)-RCC invariants based on simple Lie algebras. We formulate a rationality conjecture about the structure of this invariant.

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L. Rozansky. 2002-01-15. A universal U(1)-RCC invariant of links and rationality conjecture. https://arxiv.org/abs/math/0201139

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