Anchored Dyck Paths

Fuente: arXiv
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Main Author: Dillies, Jimmy
Format: Preprint
Published: 2026
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_version_ 1866916012875579392
author Dillies, Jimmy
author_facet Dillies, Jimmy
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2605_14921
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Anchored Dyck Paths
Dillies, Jimmy
Combinatorics
Representation Theory
05A19, 05E10
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.
title Anchored Dyck Paths
topic Combinatorics
Representation Theory
05A19, 05E10
url https://arxiv.org/abs/2605.14921