The cyclic cycle complex of a surface
classification
🧮 math.GT
keywords
closedcomplexsurfacebestvina-bux-margalitclassclassesconstructedconstruction
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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.
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