The new dinv is not so new

zbMath1420.05175arXiv1903.02912MaRDI QIDQ2325748

Michele D'Adderio, Iraci Alessandro

Publication date: 30 September 2019

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.02912

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05)

Related Items (1)

New identities for theta operators

Cites Work

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• Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
• An explicit formula for ndinv, a new statistic for two-shuffle parking functions
• A combinatorial formula for the character of the diagonal coinvariants
• A proof of the \(q,t\)-Catalan positivity conjecture
• A proof of the 4-variable Catalan polynomial of the delta conjecture
• The Schröder case of the generalized delta conjecture
• A new ``dinv arising from the two part case of the shuffle conjecture
• A three shuffle case of the compositional parking function conjecture
• Statistics on parallelogram polyominoes and a \(q,t\)-analogue of the Narayana numbers
• A Compositional Shuffle Conjecture Specifying Touch Points of the Dyck Path
• The Delta Conjecture
• A proof of the shuffle conjecture

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