The Delta Conjecture
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Publication:4608768
DOI10.1090/tran/7096zbMath1383.05308arXiv1509.07058OpenAlexW2963798343WikidataQ123253120 ScholiaQ123253120MaRDI QIDQ4608768
Andrew Timothy Wilson, James Haglund, Jeffery B. Remmel
Publication date: 28 March 2018
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.07058
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rational parking functions and Catalan numbers
- A new plethystic symmetric function operator and the rational compositional shuffle conjecture at \(t=1/q\)
- Congruence properties of \(q\)-analogs
- Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
- Some bijective correspondences involving domino tableaux
- Ordered set partition statistics and the delta conjecture
- A combinatorial formula for the character of the diagonal coinvariants
- A Schröder generalization of Haglund's statistic on Catalan paths
- Conjectured statistics for the \(q,t\)-Catalan numbers.
- Splitting the square of a Schur function into its symmetric and antisymmetric parts
- A proof of the 4-variable Catalan polynomial of the delta conjecture
- An extension of MacMahon's equidistribution theorem to ordered set partitions
- A weighted sum over generalized Tesler matrices
- Square $\boldsymbol {q,t}$-lattice paths and $\boldsymbol {\nabla (p_n)}$
- Ribbon tableaux, Hall–Littlewood functions, quantum affine algebras, and unipotent varieties
- Compositional (km,kn)-Shuffle Conjectures
- A proof of the shuffle conjecture
- A combinatorial formula for Macdonald polynomials
- Generalized Powers
