Mapping class groupoids and Thompson's groups

A. Muhammed Uludağ; Mustafa Topkara; Özge Ülkem; Ayberk Zeytin

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arXiv · 1807.08788

Mapping class groupoids and Thompson's groups

A. Muhammed Uludağ·Mustafa Topkara·Özge Ülkem·Ayberk Zeytin

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Abstract

We introduce a groupoid ${\mathbf{\Pi MG}}}$, called the fundamental modular groupoid, which is a variant of Penner's mapping class groupoid. We study how it relates to the surface mapping class groups and Thompson's group $\mathsf T$. We also introduce larger groupoid $\mathbf{\Omega MG}$, which is related to outer automorphisms of free groups and Thompson's group $\mathsf V$ in a similar manner.

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BibTeX RIS

A. Muhammed Uludağ, Mustafa Topkara, Özge Ülkem, Ayberk Zeytin. 2018-07-23. Mapping class groupoids and Thompson's groups. https://arxiv.org/abs/1807.08788

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