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- W4313303632 abstract "We define noncrossing partitions of a marked surface without punctures (interior marked points). We show that the natural partial order on noncrossing partitions is a graded lattice and describe its rank function topologically. Lower intervals in the lattice are isomorphic to products of noncrossing partition lattices of other surfaces. We similarly define noncrossing partitions of a symmetric marked surface with double points and prove some of the analogous results. The combination of symmetry and double points plays a role that one might have expected to be played by punctures." @default.
- W4313303632 created "2023-01-06" @default.
- W4313303632 creator A5054403940 @default.
- W4313303632 date "2022-12-28" @default.
- W4313303632 modified "2023-09-27" @default.
- W4313303632 title "Noncrossing partitions of a marked surface" @default.
- W4313303632 doi "https://doi.org/10.48550/arxiv.2212.13799" @default.
- W4313303632 hasPublicationYear "2022" @default.
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