2 papers
math.AT2026
On spaces of embeddings of circles in surfaces
Ryan C. Gelnett
We consider the space of embeddings of finitely many circles that bound disks in non-positively curved surfaces. We index the connected components of this space with finite rooted…
math.AT2026
Configuration spaces of circles in the plane
Justin Curry, Ryan C. Gelnett, Matthew C. B. Zaremsky
We consider the space of all configurations of finitely many (potentially nested) circles in the plane. We prove that this space is aspherical, and compute the fundamental group of…