Generalized Catalan numbers
Combinatorics
2020-11-20 v1
Abstract
A finitization of the Catalan numbers can be defined as Euler characteristics of an algebraic structure. We conjecture the existence of a -deformed version of such structure, and provide evidence for the first two non-trivial cases. This -deformed version will likely categorify series arise from identities of the Roger-Ramanujan type.
Cite
@article{arxiv.2011.09593,
title = {Generalized Catalan numbers},
author = {Keke Zhang},
journal= {arXiv preprint arXiv:2011.09593},
year = {2020}
}