Knizhnik-Zamolodchikov bundles are topologically trivial - Mathematics > Quantum AlgebraReport as inadecuate




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Abstract: We prove that the vector bundles at the core of the Knizhnik-Zamolodchikovand quantum constructions of braid groups representations are topologicallytrivial bundles. We provide partial generalizations of this result togeneralized braid groups. A crucial intermediate result is that therepresentation ring of the symmetric group on n letters is generated by thealternating powers of its natural n-dimensional representation.



Author: Ivan Marin

Source: https://arxiv.org/







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