Results 31 to 40 of about 10,484 (179)
Quantum double Schubert polynomials, quantum Schubert polynomials and Vafa–Intriligator formula
Discrete Mathematics, 2000 52 pages, LaTeX, revised version includes new title, new arrangement of material, some new remarks and formulas, additional references, in particular, on the preprint "Quantum Schubert polynomials" by S.Fomin, G.Gelfand and A ...
Kirillov, Anatol N., Maeno, Toshiaki
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A $t$-generalization for Schubert Representatives of the Affine Grassmannian [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We introduce two families of symmetric functions with an extra parameter $t$ that specialize to Schubert representatives for cohomology and homology of the affine Grassmannian when $t=1$.
Avinash J. Dalal, Jennifer Morse
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Maximal 0-1-fillings of moon polyominoes with restricted chain lengths and rc-graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We show that maximal 0-1-fillings of moon polynomials, with restricted chain lengths, can be identified with certain rc-graphs, also known as pipe dreams.
Martin Rubey
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The ABC's of affine Grassmannians and Hall-Littlewood polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We give a new description of the Pieri rule for $k$-Schur functions using the Bruhat order on the affine type-$A$ Weyl group. In doing so, we prove a new combinatorial formula for representatives of the Schubert classes for the cohomology of affine ...
Avinash J. Dalal, Jennifer Morse
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TURKISH JOURNAL OF MATHEMATICS, 2015 We define and study the rational Schubert, rational Grothendieck, rational key polynomials in an effort to understand Molev's dual Schur functions from the viewpoint of Lascoux.
Kürşat AKER, Nesrin TUTAŞ
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Grothendieck lines in 3d N $$ \mathcal{N} $$ = 2 SQCD and the quantum K-theory of the Grassmannian
Journal of High Energy Physics, 2023 We revisit the 3d GLSM computation of the equivariant quantum K-theory ring of the complex Grassmannian from the perspective of line defects.
Cyril Closset, Osama Khlaif
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Kazhdan-Lusztig polynomials of boolean elements [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We give closed combinatorial product formulas for Kazhdan–Lusztig poynomials and their parabolic analogue of type $q$ in the case of boolean elements, introduced in [M. Marietti, Boolean elements in Kazhdan–Lusztig theory, J.
Pietro Mongelli
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Deformed Kazhdan-Lusztig elements and Macdonald polynomials [PDF]
, 2010 We introduce deformations of Kazhdan-Lusztig elements and specialised nonsymmetric Macdonald polynomials, both of which form a distinguished basis of the polynomial representation of a maximal parabolic subalgebra of the Hecke algebra.
de Gier, Jan +2 more
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Proceedings of the American Mathematical Society, 2003 We define skew Schubert polynomials to be normal form (polynomial) representatives of certain classes in the cohomology of a flag manifold. We show that this definition extends a recent construction of Schubert polynomials due to Bergeron and Sottile in terms of certain increasing labeled chains in Bruhat order of the symmetric group.
Lenart, Cristian, Sottile, Frank
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Generalized triangulations, pipe dreams, and simplicial spheres [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We exhibit a canonical connection between maximal $(0,1)$-fillings of a moon polyomino avoiding north-east chains of a given length and reduced pipe dreams of a certain permutation.
Luis Serrano, Christian Stump
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