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

Luisa Paoluzzi; Joan Porti

doi:10.1112/plms/pds094

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arXiv · 1111.0933

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

Luisa Paoluzzi·Joan Porti

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Abstract

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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BibTeX RIS

Luisa Paoluzzi, Joan Porti. 2011-11-03. Non-standard components of the character variety for a family of Montesinos knots. https://doi.org/10.1112/plms%2Fpds094

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