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math.GT2026
The complexity of pinning simple multiloops
Eric Seo, Christopher-Lloyd Simon, Ben Stucky
A multiloop with strands is a generic immersion of the union of circles into a surface , considered up…
math.GT2024
The pinning ideal of a multiloop
Christopher-Lloyd Simon, Ben Stucky
A multiloop is a generic immersion of a finite union of circles into an oriented surface, considered up to homeomorphis…
math.GT2023
Loops in surfaces, chord diagrams, interlace graphs: operad factorisations and generating grammars
Christopher-Lloyd Simon
A filoop is a generic immersion of a circle in a closed oriented surface, whose complement is a disjoint union of discs, considered up to orientation preserving diffeomorphisms. It…