On the action of the $\Sigma (2,3,7)$ homology sphere group on its space of left-orders

Abstract

We show that the action of the group $\Gamma =⟨a,b,c\mid a^2=b^3=c^7=abc⟩$ on its space of left-orders has exactly two minimal components.

arXiv comment4 pages; title changed; final version to appear in Fund. Math