English

On the unification of quantum 3-manifold invariants

Geometric Topology 2014-04-14 v1

Abstract

In 2006 Habiro initiated a construction of generating functions for Witten-Reshetikhin-Turaev (WRT) invariants known as unified WRT invariants. In a series of papers together with Irmgard Buehler and Christian Blanchet we extended his construction to a larger class of 3-manifolds. The unified invariants provide a strong tool to study properties of the whole collection of WRT invariants, e.g. their integrality, and hence, their categorification. In this paper we give a survey on ideas and techniques used in the construction of the unified invariants.

Keywords

Cite

@article{arxiv.1106.6298,
  title  = {On the unification of quantum 3-manifold invariants},
  author = {Anna Beliakova and Thang Le},
  journal= {arXiv preprint arXiv:1106.6298},
  year   = {2014}
}

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18 pages