On the unification of quantum 3-manifold invariants

Anna Beliakova; Thang Le

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arXiv · 1106.6298

On the unification of quantum 3-manifold invariants

Anna Beliakova·Thang Le

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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.

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Anna Beliakova, Thang Le. 2011-06-30. On the unification of quantum 3-manifold invariants. https://arxiv.org/abs/1106.6298

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