On pattern avoidance in matchings and involutions

DOI10.37236/10155zbMath1486.05004arXiv2009.00079OpenAlexW4213426016MaRDI QIDQ2121778

Zachary Hamaker, Jonathan J. Fang, Justin M. Troyka

Publication date: 4 April 2022

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

Full work available at URL: https://arxiv.org/abs/2009.00079

zbMATH Keywords

flag varietypattern avoidancerational smoothness

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Homogeneous spaces and generalizations (14M17) Grassmannians, Schubert varieties, flag manifolds (14M15)

Cites Work

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• Excluded permutation matrices and the Stanley-Wilf conjecture
• Dyck paths and pattern-avoiding matchings
• Regular closed sets of permutations.
• Involution words: counting problems and connections to Schubert calculus for symmetric orbit closures
• Governing singularities of symmetric orbit closures
• Pattern avoidance in matchings and partitions
• Brändén's \((p,q)\)-Eulerian polynomials, André permutations and continued fractions
• Stable characters from permutation patterns
• Combinatorics of \((q,y)\)-Laguerre polynomials and their moments
• Fixed-point-free involutions and Schur \(P\)-positivity
• Schubert calculus of richardson varieties stable under spherical Levi subgroups
• Pattern-Avoiding Involutions: Exact and Asymptotic Enumeration
• Patterns in Inversion Sequences I
• Closures of 𝐾-orbits in the flag variety for 𝑆𝑈*(2𝑛)
• Permutation classes
• Pattern avoidance in inversion sequences
• Combinatorial Results on (1, 2, 1, 2)-Avoiding GL(p, ℂ) × GL(q, ℂ)-Orbit Closures on GL(p+q, ℂ)/B
• Consequences of the Lakshmibai-Sandhya Theorem: the ubiquity of permutation patterns in Schubert calculus and related geometry
• Hankel continued fractions and Hankel determinants of the Euler numbers
• Schur $P$-positivity and Involution Stanley Symmetric Functions
• Restricted permutations

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