Mapping class groupoids and Thompson's groups
Year: 2018
Type: preprint
Abstract: We introduce a groupoid ${\mathbf{ΠMG}}}$, 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 $\mathbf{ΩMG}$, which is related to outer automorphisms of free groups and Thompson's group $\mathsf V$ in a similar manner.
Source: arXiv (Cornell University)
Authors: Uludağ, A. Muhammed, Topkara, Mustafa, Ülkem, Özge, Zeytin, Ayberk
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2882974332