Constructs planar diagram models for noncrossing partitions in affine Coxeter groups of types à and C̃, completing [1,c]_T to a lattice with diagram-guided factorizations.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.CO 2years
2022 2verdicts
UNVERDICTED 2representative citing papers
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.
citing papers explorer
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Noncrossing partitions of an annulus
Constructs planar diagram models for noncrossing partitions in affine Coxeter groups of types à and C̃, completing [1,c]_T to a lattice with diagram-guided factorizations.
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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.