Defines noncrossing partitions of marked surfaces without punctures, proves the poset is a graded lattice with topological rank function, and shows lower intervals factor as products of smaller such lattices; analogous results for symmetric surfaces with double points.
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Noncrossing partitions of a marked surface
Defines noncrossing partitions of marked surfaces without punctures, proves the poset is a graded lattice with topological rank function, and shows lower intervals factor as products of smaller such lattices; analogous results for symmetric surfaces with double points.