Positroids, knots, and \(q,t\)-Catalan numbers
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Publication:2680934
zbMath1503.14044arXiv2012.09745MaRDI QIDQ2680934
Publication date: 5 January 2023
Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.09745
equivariant cohomologyHOMFLY polynomialKoszul dualityKhovanov-Rozansky homology\(q,t\)-Catalan numberspositroid varietiesmixed Hodge structure
Grassmannians, Schubert varieties, flag manifolds (14M15) Polynomial rings and ideals; rings of integer-valued polynomials (13F20)
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Cites Work
- Unnamed Item
- Cluster structures on strata of flag varieties
- Legendrian knots and constructible sheaves
- A continuous family of partition statistics equidistributed with length
- On some geometric aspects of Bruhat orderings. I: A finer decomposition of Bruhat cells
- Hecke algebra representations of braid groups and link polynomials
- Representations of Coxeter groups and Hecke algebras
- Conjectures on the quotient ring by diagonal invariants
- Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
- A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion
- Toric braids and \((m,n)\)-parking functions
- Cohomology of cluster varieties. I: Locally acyclic case
- Generalized \(q,t\)-Catalan numbers
- Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology
- Cluster varieties from Legendrian knots
- Théorie de Hodge. II. (Hodge theory. II)
- Positroids, knots, and \(q,t\)-Catalan numbers
- On Koszul duality for Kac-Moody groups
- Positroid varieties: juggling and geometry
- 𝑞,𝑡-Catalan numbers and knot homology
- GRASSMANNIANS AND CLUSTER ALGEBRAS
- The twist for positroid varieties
- Koszul Duality Patterns in Representation Theory
- Cluster structures in Schubert varieties in the Grassmannian
- Matrix factorizations and link homology
- A Shuffle Theorem for Paths Under Any Line
- 3D TQFT and HOMFLYPT homology
- Morsifications and mutations