Motion groupoids and mapping class groupoids

Fiona Torzewska, João Faria Martins, Paul Purdon Martin

Here $\underline{M}$ denotes a pair $(M,A)$ of a manifold and a subset (e.g. $A=\partial M$ or $A=\varnothing$). We construct for each $\underline{M}$ its motion groupoid $\mathrm{Mo…