The cyclic cycle complex of a surface

Mathematics – Geometric Topology

Scientific paper

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7 pages

Scientific paper

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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