Results 41 to 50 of about 197,691 (182)
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
doaj +1 more source
Quantum Schubert polynomials [PDF]
Journal of the American Mathematical Society, 1997 {Let \(Fl_n\) be the manifold of complete flags in the \(n\)-dimensional vector space \(\mathbb C^n\). Inspired from ideas from string theory, recently the concept of quantum cohomology ring \(QH^*(X,\mathbb Z)\) of a Kähler algebraic manifold \(X\) has been defined.
Fomin, Sergey +2 more
openaire +2 more sources
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
doaj +1 more source
Complements of Schubert polynomials
Advances in Applied Mathematics14 pages, 8 ...
Neil J. Y. Fan +2 more
openaire +4 more sources
Forum of Mathematics, SigmaSchubert polynomials are polynomial representatives of Schubert classes in the cohomology of the complete flag variety and have a combinatorial formulation in terms of bumpless pipe dreams.
Tuong Le +4 more
doaj +1 more source
Permutations with Kazhdan-Lusztig polynomial $ P_id,w(q)=1+q^h$ [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Using resolutions of singularities introduced by Cortez and a method for calculating Kazhdan-Lusztig polynomials due to Polo, we prove the conjecture of Billey and Braden characterizing permutations w with Kazhdan-Lusztig polynomial$ P_id,w(q)=1+q^h$ for
Alexander Woo
doaj +1 more source
Gröbner geometry of Schubert polynomials [PDF]
Annals of Mathematics, 2005 53 pages. This version is around half the length of v2, having been trimmed and completely reorganized. This is the final version, to appear in Annals of Mathematics. A substantial chunk of the cut material, on subword complexes, appears in its own paper (math.CO/0309259)
Knutson, Allen, Miller, Ezra
openaire +2 more sources
Orthogonal Polynomials, Paraorthogonal Polynomials, and Point Perturbation [PDF]
, 2009 This thesis consists of three parts. Part 1 starts with an introduction to orthogonal polynomials, to be followed by some well-known theorems pertinent to the results we shall discuss.
Wong, Manwah Lilian
core +1 more source
Wonderful symmetric varieties and Schubert polynomials
Ars Mathematica Contemporanea, 2018 19 ...
Mahir Bilen Can +2 more
openaire +6 more sources
Schubert line defects in 3d GLSMs. Part II. Partial flag manifolds and parabolic quantum polynomials
Journal of High Energy PhysicsWe construct Schubert line defects in the 3d N = 2 $$ \mathcal{N}=2 $$ supersymmetric gauged linear sigma model (GLSM) with target space a partial flag manifold X = Fl(k; n), generalizing our construction for complete flag manifolds given in a companion ...
Cyril Closset +5 more
doaj +1 more source