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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3 Pith papers cite this work. Polarity classification is still indexing.
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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.
Models the interval [1,c]_T in the absolute order for affine Coxeter groups of types tilde D and tilde B by symmetric noncrossing partitions of an annulus with one or two double points, also covering a larger lattice in type tilde B.
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.
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Symmetric noncrossing partitions of an annulus with double points
Models the interval [1,c]_T in the absolute order for affine Coxeter groups of types tilde D and tilde B by symmetric noncrossing partitions of an annulus with one or two double points, also covering a larger lattice in type tilde B.