On the relation between the WRT invariant and the Hennings invariant
Qi Chen (Winston-Salem State University), Srikanth Kuppum (Indian, Institute of Technology Guwahati), Parthasarathy Srinivasan (Ohio State, University)
TL;DR
This paper establishes a straightforward connection between two important quantum invariants of 3-manifolds, the WRT and Hennings invariants, linked to quantum sl_2.
Contribution
It provides a simple relation between the WRT SO(3) invariant and the Hennings invariant for 3-manifolds associated with quantum sl_2.
Findings
Derived a direct relation between WRT and Hennings invariants
Simplified understanding of quantum invariants for 3-manifolds
Potentially facilitates computations of invariants in quantum topology
Abstract
The purpose of this note is to provide a simple relation between the Witten-Reshetikhin-Turaev SO(3) invariant and the Hennings invariant of 3-manifolds associated to quantum sl_2.
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