Flow Polytopes and the Space of Diagonal Harmonics
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Publication:5243499
DOI10.4153/CJM-2018-007-3zbMath1427.05234arXiv1610.08370OpenAlexW3099698207MaRDI QIDQ5243499
Ricky Ini Liu, Karola Mészáros, Alejandro H. Morales
Publication date: 18 November 2019
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.08370
Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Symmetric functions and generalizations (05E05) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Combinatorial aspects of commutative algebra (05E40) Flows in graphs (05C21)
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From generalized permutahedra to Grothendieck polynomials via flow polytopes (extended abstract), From generalized permutahedra to Grothendieck polynomials via flow polytopes, Counting integer points of flow polytopes
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- Constant term methods in the theory of Tesler matrices and Macdonald polynomial operators
- Refined knot invariants and Hilbert schemes
- The polytope of Tesler matrices
- A polynomial expression for the Hilbert series of the quotient ring of diagonal coinvariants
- A polynomial expression for the character of diagonal harmonics
- Une famille de polynômes ayant plusieurs propriétés enumeratives
- Conjectures on the quotient ring by diagonal invariants
- Chip firing and the Tutte polynomial
- Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
- \(G\)-parking functions and tree inversions
- Fishburn diagrams, Fishburn numbers and their refined generating functions
- A combinatorial formula for the character of the diagonal coinvariants
- Conjectured combinatorial models for the Hilbert series of generalized diagonal harmonic modules
- Combinatorics of \(q\), \(t\)-parking functions
- Enumerative applications of a decomposition for graphs and digraphs
- Threshold graphs and related topics
- A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion
- A weighted sum over generalized Tesler matrices
- Combinatorics of Tesler matrices in the theory of parking functions and diagonal harmonics
- A conjectured combinatorial formula for the Hilbert series for diagonal harmonics
- A proof of the shuffle conjecture
- Trees, parking functions, syzygies, and deformations of monomial ideals
- A graded representation model for Macdonald's polynomials.