On the unification of quantum 3-manifold invariants

Details On the unification of quantum 3-manifold invariants On the unification of quantum 3-manifold invariants

2011-06-30

arxiv.org/abs/1106.6298v1

Mathematics

Geometric Topology

18 pages

Scientific paper

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.

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