Non-standard components of the character variety for a family of Montesinos knots

Details Non-standard components of the character variety for a family of Montesinos knots Non-standard components of the character variety for a family of Montesinos knots

2011-11-03

arxiv.org/abs/1111.0933v1

Mathematics

Geometric Topology

26 pages, 6 figures

Scientific paper

We show that there are Montesinos knots with $n+1\geq 4$ tangles whose
character varieties contain arbitrarily many irreducible components of
dimension $d$ for any $1\le d\le n-2$. Moreover, these irreducible components
can be chosen so that the trace of the meridian is non-constant.

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