Loops in surfaces, chord diagrams, interlace graphs: operad factorisations and generating grammarsmath.GT
Loops in surfaces and chord diagrams are studied with graph factorizations and grammars.
problem Understanding loops in surfaces and their properties.
method Factorization of filoops into spheric and toric sums, and grammars generating chordiagraphs.
result Minimal genus of filoops and stability properties under factorizations.