A contractible simplicial complex is constructed that parametrizes different ways of representing a fixed one-dimensional homology class in a closed orientable surface by isotopy classes of systems of disjoint oriented simple closed curves. This is a variant on an earlier construction of Bestvina-Bux-Margalit.
Three-page embeddings of singular knots
A colored operad for string link infection
Ineffectiveness of homotopical invariants on Nakanishi's 4-move conjecture
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