A Shuffle Theorem for Paths Under Any Line
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Publication:5879230
DOI10.1017/fmp.2023.4OpenAlexW3130682847MaRDI QIDQ5879230
Anna Y. Pun, George H. Seelinger, Jennifer Morse, Jonah Blasiak, Mark D. Haiman
Publication date: 28 February 2023
Published in: Forum of Mathematics, Pi (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.07931
Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Connections of Hopf algebras with combinatorics (16T30)
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Cites Work
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- On the Hall algebra of an elliptic curve. I.
- On the Hall algebra of an elliptic curve. II
- Equivariant \(K\)-theory of Hilbert schemes via shuffle algebra
- Standard bases for affine parabolic modules and nonsymmetric Macdonald polynomials
- Non-symmetric Cauchy kernels for the classical groups
- Explicit plethystic formulas for Macdonald \((q,t)\)-Kostka coefficients
- Conjectures on the quotient ring by diagonal invariants
- \(q\)-hypergeometric series and Macdonald functions
- Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
- Identities and positivity conjectures for some remarkable operators in the theory of symmetric functions
- A combinatorial formula for the character of the diagonal coinvariants
- A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion
- Some natural bigraded \(S_ n\)-modules and \(q,t\)-Kostka coefficients
- The elliptic Hall algebra and the \(K\)-theory of the Hilbert scheme of \(\mathbb{A}^{2}\)
- A reproducing kernel for nonsymmetric Macdonald polynomials
- Properties of non-symmetric Macdonald polynomials at \(q=1\) and \(q=0\)
- Toric braids and \((m,n)\)-parking functions
- Generalized \(q,t\)-Catalan numbers
- Affine Springer fibers of type \(A\) and combinatorics of diagonal coinvariants
- A Compositional Shuffle Conjecture Specifying Touch Points of the Dyck Path
- The Shuffle Algebra Revisited
- Affine Hecke Algebras and Their Graded Version
- 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
- A Proof of the Extended Delta Conjecture
