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

Luisa Paoluzzi (1) , Joan Porti (2)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités
2 UAB - Departament de Matemàtiques [Barcelona]

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.

Domaines: Topologie géométrique [math.GT]

Luisa Paoluzzi, Joan Porti. Non-standard components of the character variety for a family of Montesinos knots. Proc. London Math. Soc, 2013, 10.1112/plms/pds094. ⟨10.1112/plms/pds094⟩. ⟨hal-00638156⟩