Decorated Dyck paths, polyominoes, and the delta conjecture

Decorated Dyck paths, polyominoes, and the delta conjecture

We discuss the combinatorics of decorated Dyck paths and decorated parallelogram polyominoes, extending to the decorated case the main results of both Haglund ("A proof of the Schroder conjecture", 2004) and Aval et al. ("Statistics on parallelogram polyominoes and a analogue of the N...

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Bibliographic Details
Main Authors : D'Adderio Michele (Auteur), Iraci Alessandro (Auteur), Vanden Wyngaerd Anna (Auteur)
Format : Book
Language : anglais
Title statement : Decorated Dyck paths, polyominoes, and the delta conjecture / Michele D'Adderio, Alessandro Iraci, Anna Vanden Wyngaerd
Published : Providence (R.I.) : American Mathematical Society , 2022
Physical Description : 1 vol. (XI-119 p.)
Series : Memoirs of the American Mathematical Society ; 1370
Subjects :
Analyse combinatoire
Fonctions symétriques
  • Background and definitions
  • Conjectures
  • Our results
  • Symmetric functions
  • Combinatorics of decorated Dyck paths
  • Combinatorics of polyominoes
  • Putting the pieces together
  • Square paths