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arxiv: 1004.1068 · v2 · submitted 2010-04-07 · 🧮 math.GT · math.AT

Addendum to: "An expansion of the Jones representation of genus 2 and the Torelli group"

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keywords representationaddendumalgebrcontaindeterminantdimensionalexpansiongenus
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We observe that the determinant of the representation provides a little restriction for the structure of the graded quotients $\mathcal{G}_k^Q{F}$ introduced in both [Algebr. Geom. Topol. 1 (2001) 39-55] and [J. Knot Theory Ramifications 13 (2004) 297-306] that any one of them does not contain the trivial 1-dimensional summand.

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