Results 21 to 30 of about 1,001 (48)
The uniqueness theorem for Gysin coherent characteristic classes of singular spaces
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract We establish a general computational scheme designed for a systematic computation of characteristic classes of singular complex algebraic varieties that satisfy a Gysin axiom in a transverse setup. This scheme is explicitly geometric and of a recursive nature terminating on genera of explicit characteristic subvarieties that we construct.
Markus Banagl, Dominik J. Wrazidlo
wiley +1 more source
Presenting the cohomology of a Schubert variety: Proof of the minimality conjecture
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract A minimal presentation of the cohomology ring of the flag manifold GLn/B$GL_n/B$ was given in A. Borel (1953). This presentation was extended by E. Akyildiz–A. Lascoux–P. Pragacz (1992) to a nonminimal one for all Schubert varieties. Work of V. Gasharov–V.
Avery St. Dizier, Alexander Yong
wiley +1 more source
Quantum cohomology of the Lagrangian Grassmannian
, 2003 Let V be a symplectic vector space and LG be the Lagrangian Grassmannian which parametrizes maximal isotropic subspaces in V. We give a presentation for the (small) quantum cohomology ring QH^*(LG) and show that its multiplicative structure is determined
Kresch, Andrew, Tamvakis, Harry
core +1 more source
Pieri rules for the K-theory of cominuscule Grassmannians [PDF]
, 2010 We prove Pieri formulas for the multiplication with special Schubert classes in the K-theory of all cominuscule Grassmannians. For Grassmannians of type A this gives a new proof of a formula of Lenart. Our formula is new for Lagrangian Grassmannians, and
Anders Skovsted, Buch, Vijay Ravikumar
core +2 more sources
Mutations of puzzles and equivariant cohomology of two-step flag varieties [PDF]
, 2014 We introduce a mutation algorithm for puzzles that is a three-direction analogue of the classical jeu de taquin algorithm for semistandard tableaux. We apply this algorithm to prove our conjectured puzzle formula for the equivariant Schubert structure ...
Buch, Anders Skovsted
core
Schubert puzzles and integrability I: invariant trilinear forms
, 2020 The puzzle rules for computing Schubert calculus on $d$-step flag manifolds, proven in [Knutson Tao 2003] for $1$-step, in [Buch Kresch Purbhoo Tamvakis 2016] for $2$-step, and conjectured in [Coskun Vakil 2009] for $3$-step, lead to vector ...
Knutson, Allen, Zinn-Justin, Paul
core
The mirror conjecture for minuscule flag varieties
, 2017 We prove Rietsch's mirror conjecture that the Dubrovin quantum connection for minuscule flag varieties is isomorphic to the character D-module of the Berenstein-Kazhdan geometric crystal.
Lam, Thomas, Templier, Nicolas
core
An algorithm for computing Schubert varieties of best fit with applications. [PDF]
Front Artif Intell, 2023 Karimov K, Kirby M, Peterson C.
europepmc +1 more source
Vector bundles on rational homogeneous spaces. [PDF]
Ann Mat Pura Appl, 2021 Du R, Fang X, Gao Y.
europepmc +1 more source
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