## 211 Citations

### On the Contribution of Wu Wen-Tsün to Algebraic Topology

- MathematicsJournal of Systems Science and Complexity
- 2019

The aim of this article is to present the contribution of Wu Wen-Tsün to Algebraic Topology and more precisely to the theory of characteristic classes. Several papers provide complete and…

### On the Ehresmann cell structure for flag manifolds

- Mathematics, Philosophy
- 2019

The cell structure for flag manifolds, originally defined by Ehresmann, has certain deficiencies in the sense it does not allow for an exhaustive proof of the axioms in the definition of a…

### On the cell structure of flag manifolds

- Mathematics
- 2019

We here define a cell structure for real, complex and quaternionic flag manifolds in a unified way. Our method is geometric in nature and is inspired from a method due to Milnor and Stasheff, which…

### On Schubert’s Problem of Characteristics

- Mathematics
- 2017

The Schubert varieties on a flag manifold G/P give rise to a cell decomposition on G/P whose Kronecker duals, known as the Schubert classes on G/P, form an additive base of the integral cohomology of…

### On the Structure of the Bigrassmannian Permutation Poset

- Mathematics
- 2015

Let $\mathfrak{S}_n$ and $\mathfrak{B}_n$ denote the respective sets of ordinary and bigrassmannian permutations of order $n$, and let $(\mathfrak{S}_n,\le)$ denote the Bruhat ordering permutation…

### Invariant Principal Order Ideals under Foata's Transformation

- MathematicsElectron. J. Comb.
- 2012

A characterization of permutations of $\sigma$ such that ${\Lambda}_{\sigma}$ are invariant under $\Phi$, and the invariant principal order ideals with respect to the Bruhat order under Han's bijection.

### Hodge Structure of a Complete Intersection of Quadrics in a Projective Space

- Mathematics
- 2007

Given a smooth projective variety V of dimension n, one may say that V has motivic dimension less than d+1 if the cohomology of V comes from varieties of dimensions less than d+1 in some geometric…

### Grothendieck polynomials via permutation patterns and chains in the Bruhat order

- Mathematics
- 2004

We give new formulas for Grothendieck polynomials of two types. One type expresses any specialization of a Grothendieck polynomial in at least two sets of variables as a linear combination of…

### Schubert calculus and Intersection theory of Flag manifolds

- Mathematics
- 2021

Hilbert’s 15th problem called for a rigorous foundation of Schubert’s calculus, in which a long standing and challenging part is Schubert’s problem of characteristics. In the course of securing the…