On the universal sl2 invariant of Brunnian bottom tangles
2012 ◽
Vol 154
(1)
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pp. 127-143
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AbstractThe universal sl2 invariant is an invariant of bottom tangles from which one can recover the colored Jones polynomial of links. We are interested in the relationship between topological properties of bottom tangles and algebraic properties of the universal sl2 invariant. A bottom tangle T is called Brunnian if every proper subtangle of T is trivial. In this paper, we prove that the universal sl2 invariant of n-component Brunnian bottom tangles takes values in a small subalgebra of the n-fold completed tensor power of the quantized enveloping algebra Uh(sl2). As an application, we give a divisibility property of the colored Jones polynomial of Brunnian links.
2012 ◽
Vol 19
(spec01)
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pp. 1089-1108
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2008 ◽
Vol 17
(08)
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pp. 925-937
2015 ◽
Vol 152
(2)
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pp. 299-326
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2019 ◽
Vol 28
(08)
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pp. 1950050
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2006 ◽
Vol 6
(3)
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pp. 531-551
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2021 ◽
Vol 78
(1)
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pp. 215-224
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