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

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

2002-01-15

arxiv.org/abs/math/0201139v1

Mathematics

Geometric Topology

107 pages

Scientific paper

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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