Results 61 to 70 of about 220,490 (165)
Lower bounds in real Schubert calculus
The São Paulo Journal of Mathematical Sciences, 2013 22 ...
Hein, Nickolas +2 more
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Cotangent Schubert Calculus in Grassmannians
, 2022 We find formulas for the Segre-MacPherson classes of Schubert cells in T-equivariant cohomology and the motivic Segre classes of Schubert cells in T-equivariant K-theory. In doing so we look at the pushforward of the projection map from the Bott-Samelson
Oetjen, David Christopher
core
The recursive nature of cominuscule Schubert calculus [PDF]
, 2008 The necessary and sufficient Horn inequalities which determine the non-vanishing Littlewood–Richardson coefficients in the cohomology of a Grassmannian are recursive in that they are naturally indexed by non-vanishing Littlewood–Richardson coefficients ...
Purbhoo, Kevin, Sottile, Frank
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Degree bounds in quantum Schubert calculus [PDF]
Proceedings of the American Mathematical Society, 2003 Fulton and Woodward have recently identified the smallest degree of $q$ that appears in the expansion of the product of two Schubert classes in the (small) quantum cohomology ring of a Grassmannian. We present a combinatorial proof of this result, and provide an alternative characterization of this smallest degree in terms of the rim hook formula for ...
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Journal of High Energy PhysicsWe further investigate the 3d gauged linear sigma model (GLSM)/ quantum K-theory correspondence for partial flag manifolds X ≡ Fl(k; n). This is a 3d uplift of the 2d GLSM/quantum cohomology correspondence with the 3d theory compactified on ℝ 2 × S β 1 $$
Zhihao Duan, Osama Khlaif, Hao Zou
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Schubert calculus and torsion explosion [PDF]
, 2017 The author observes that certain numbers occurring in Schubert calculus for SL also occur as entries in intersection forms controlling decompositions of Soergel bimodules in higher rank. These numbers grow exponentially.
McNamara, P. +5 more
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Affine Hecke algebras and the Schubert calculus
European Journal of Combinatorics, 2004 Using a combinatorial approach which avoids geometry, this paper studies the ring structure of K_T(G/B), the T-equivariant K-theory of the (generalized) flag variety G/B. Here the data is a complex reductive algebraic group (or symmetrizable Kac-Moody group) G, a Borel subgroup B, and a maximal torus T, and K_T(G/B) is the Grothendieck group of T ...
Stephen Griffeth, Arun Ram
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Schubert Calculus, Schubert Cell, Schubert Cycle, and Schubert Polynomials
, 2001 We briefly describe each of the four topics: Schubert Calculus, Schubert Cell, Schubert Cycle, and Schubert Polynomials.
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General isotropic flags are general (for Grassmannian Schubert calculus)
, 2009 We show that general isotropic flags for odd-orthogonal and symplectic groups are general for Schubert calculus on the classical Grassmannian in that Schubert varieties defined by such flags meet transversally.
Frank Sottile
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Advanced Studies in Pure Mathematics, 2018 These are notes for four lectures given at the Osaka summer school on Schubert calculus in 2012, presenting the geometry from the unpublished arXiv:1008.4302 giving an extension of the puzzle rule for Schubert calculus to equivariant $K$-theory, while eliding some of the combinatorial detail.
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