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arxiv: 2605.14921 · v1 · pith:OCLJK5W3new · submitted 2026-05-14 · 🧮 math.CO · math.RT

Anchored Dyck Paths

classification 🧮 math.CO math.RT
keywords anchoreddyckinterpretationpathsanswerappearsbinarycatalan
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We answer a question of Simental by providing a combinatorial interpretation of a formula which generalizes rational Catalan numbers and which appears in the study of Springer fibers. We provide an interpretation in terms of binary necklaces as well as anchored Dyck paths.

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