On the universal sl_2 invariant of boundary bottom tangles
Geometric Topology
2015-03-19 v1 Quantum Algebra
Abstract
The universal sl_2 invariant of bottom tangles has a universality property for the colored Jones polynomial of links. Habiro conjectured that the universal sl_2 invariant of boundary bottom tangles takes values in certain subalgebras of the completed tensor powers of the quantized enveloping algebra U_h(sl_2) of the Lie algebra sl_2. In the present paper, we prove an improved version of Habiro's conjecture. As an application, we prove a divisibility property of the colored Jones polynomial of boundary links.
Keywords
Cite
@article{arxiv.1103.2204,
title = {On the universal sl_2 invariant of boundary bottom tangles},
author = {Sakie Suzuki},
journal= {arXiv preprint arXiv:1103.2204},
year = {2015}
}