Results 1 to 10 of about 970 (17)
Gromov-Witten invariants on Grassmannians [PDF]
, 2003 We prove that any three-point genus zero Gromov-Witten invariant on a type A Grassmannian is equal to a classical intersection number on a two-step flag variety. We also give symplectic and orthogonal analogues of this result; in these cases the two-step
Buch, Anders Skovsted +2 more
core +2 more sources
The puzzle conjecture for the cohomology of two-step flag manifolds [PDF]
, 2016 We prove a conjecture of Knutson asserting that the Schubert structure constants of the cohomology ring of a two-step flag variety are equal to the number of puzzles with specified border labels that can be created using a list of eight puzzle pieces. As
Buch, Anders Skovsted +3 more
core +1 more source
Experimentation and conjectures in the real Schubert calculus for flag manifolds [PDF]
, 2005 The Shapiro conjecture in the real Schubert calculus, while likely true for Grassmannians, fails to hold for flag manifolds, but in a very interesting way.
Ruffo, James +3 more
core +2 more sources
The Secant Conjecture in the real Schubert calculus [PDF]
, 2012 We formulate the Secant Conjecture, which is a generalization of the Shapiro Conjecture for Grassmannians. It asserts that an intersection of Schubert varieties in a Grassmannian is transverse with all points real, if the flags defining the Schubert ...
del Campo, Abraham Martin +6 more
core +4 more sources
A geometric Littlewood-Richardson rule [PDF]
, 2003 We describe an explicit geometric Littlewood-Richardson rule, interpreted as deforming the intersection of two Schubert varieties so that they break into Schubert varieties.
Vakil, Ravi
core +4 more sources
An update of quantum cohomology of homogeneous varieties [PDF]
, 2014 We describe recent progress on QH(G/P) with special emphasis of our own work.Comment: 18 pages.
Changzheng Li, Leung, Naichung Conan
core
A Pieri-type formula for isotropic flag manifolds
, 1998 We give the formula for multiplying a Schubert class on an odd orthogonal or symplectic flag manifold by a special Schubert class pulled back from a Grassmannian of maximal isotropic subspaces.
Bergeron, Nantel, Sottile, Frank
core +5 more sources
Integral homology of real isotropic and odd orthogonal Grassmannians
, 2020 We obtain a combinatorial expression for the coefficients of the boundary map of real isotropic and odd orthogonal Grassmannians providing a natural generalization of the formulas already obtained for Lagrangian and maximal isotropic Grassmannians.
Lambert, Jordan, Rabelo, Lonardo
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Billey's formula in combinatorics, geometry, and topology [PDF]
, 2013 In this expository paper we describe a powerful combinatorial formula and its implications in geometry, topology, and algebra. This formula first appeared in the appendix of a book by Andersen, Jantzen, and Soergel.
Tymoczko, Julianna S.
core +2 more sources
Double transitivity of Galois Groups in Schubert Calculus of Grassmannians [PDF]
, 2014 We investigate double transitivity of Galois groups in the classical Schubert calculus on Grassmannians. We show that all Schubert problems on Grassmannians of 2- and 3-planes have doubly transitive Galois groups, as do all Schubert problems involving ...
Sottile, Frank, White, Jacob
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