English

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

Geometric Topology 2007-05-23 v1

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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Cite

@article{arxiv.math/0201139,
  title  = {A universal U(1)-RCC invariant of links and rationality conjecture},
  author = {L. Rozansky},
  journal= {arXiv preprint arXiv:math/0201139},
  year   = {2007}
}

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107 pages