Integral modular categories and integrality of quantum invariants at roots of unity of prime order
1998 ◽
Vol 1998
(505)
◽
pp. 209-235
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Keyword(s):
Abstract It is shown how to deduce integrality properties of quantum 3-manifold invariants from the existence of integral subcategories of modular categories. The method is illustrated in the case of the invariants associated to classical Lie algebras constructed in [42], showing that the invariants are algebraic integers provided the root of unity has prime order. This generalizes a result of [31], [32] and [29] in the sl2-case. We also discuss some details in the construction of invariants of 3-manifolds, such as the S-matrix in the PSUk case, and a local orientation reversal principle for the colored Homfly polynomial.
2010 ◽
Vol 19
(06)
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pp. 727-737
Keyword(s):
1998 ◽
Vol 1998
(505)
◽
pp. 209-235
2009 ◽
Vol 145
(1)
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pp. 196-212
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Keyword(s):
Keyword(s):
1997 ◽
Vol 49
(5)
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pp. 887-915
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2009 ◽
Vol 18
(12)
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pp. 1623-1636
2006 ◽
Vol 15
(10)
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pp. 1245-1277
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2005 ◽
Vol 71
(1)
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pp. 167-173
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2011 ◽
Vol 07
(05)
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pp. 1217-1228
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2001 ◽
Vol 10
(05)
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pp. 763-767
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