Recursions for rational \(q,t\)-Catalan numbers
zbMath1447.05028arXiv1908.11763MaRDI QIDQ5918947
Eugene Gorsky, Monica Vazirani, Mikhail Mazin
Publication date: 14 September 2020
Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.11763
semigroupsrational Dyck pathssimultaneous core partitionsrational Catalan combinatoricsinvariant integer subsets
Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Parametrization (Chow and Hilbert schemes) (14C05) Elementary theory of partitions (11P81)
Cites Work
- Refined knot invariants and Hilbert schemes
- Sweep maps: a continuous family of sorting algorithms
- Results and conjectures on simultaneous core partitions
- Partitions which are simultaneously \(t_1\)- and \(t_2\)-core
- Compactified Jacobians and \(q,t\)-Catalan numbers. I.
- A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion
- Rational Dyck paths in the non relatively prime case
- Compactified Jacobians and \(q,t\)-Catalan numbers. II
- 𝑞,𝑡-Catalan numbers and knot homology
- Compositional (km,kn)-Shuffle Conjectures
- On the computation of torus link homology
- Recursions for rational \(q,t\)-Catalan numbers
This page was built for publication: Recursions for rational \(q,t\)-Catalan numbers
