The topology of Baumslag-Solitar representations

Maxime Bergeron; Lior Silberman

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arXiv · 1902.04046

The topology of Baumslag-Solitar representations

Maxime Bergeron·Lior Silberman

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Abstract

Let $\Gamma=\langle a,b | a b^{p} a^{-1} = b^{q}\rangle$ be a Baumslag--Solitar group and $G$ be a complex reductive algebraic group with maximal compact subgroup $K<G$. We show that, when $p$ and $q$ are relatively prime with distinct absolute values, there is a strong deformation retraction retraction of $Hom(\Gamma,G)$ onto $Hom(\Gamma,K)$.

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BibTeX RIS

Maxime Bergeron, Lior Silberman. 2019-02-11. The topology of Baumslag-Solitar representations. https://arxiv.org/abs/1902.04046

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