Anchored Dyck Paths
Combinatorics
2026-05-15 v1 Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2605.14921,
title = {Anchored Dyck Paths},
author = {Jimmy Dillies},
journal= {arXiv preprint arXiv:2605.14921},
year = {2026}
}