H. Duan

activity

20032026

most citedMultiplicative rule of Schubert classes

24 citations · 117 across the 34 of their papers we have counts for

collaborators

36 papers

math.AT2026

Rational homotopy theory of flag manifolds

Haibao Duan

Let $G / P$ be a flag manifold with $G$ simple. We determine the rational homotopy groups $π_{*} (G / P) \otimes Q$ and describe the rational cohomology ring $H^{\ast }(G/P;…

math.AT2026

A Classification of Self-Maps of Generalized Grassmannians

Haibao Duan, Ruizhi Huang, Xuezhi Zhao

Generalized Grassmannians form a fundamental class of flag manifolds associated with Lie groups. The purpose of this paper is to classify self-maps of generalized Grassmannians of…

math.AT2026

On the degrees of equivariant maps from spheres to complex Stiefel manifolds

Haibao Duan, Ruizhi Huang

We study the set of degrees of $Z / m$ -equivariant maps from spheres to complex Stiefel manifolds, motivated by the work of Astey--Gitler--Micha--Pastor. Under a suitable ar…

math.AT2023★ 1 cited

Schubert calculus in Lie groups

Haibao Duan

Let $G$ be a Lie group with a maximal torus $T$ . Combining Schubert calculus in the flag manifold $G / T$ with the Serre spectral sequence of the fibration $G \to G / T$ , we con…

math.GT2022★ 2 cited

Circle actions and Suspension operations on Smooth manifolds

Haibao Duan

Let $M$ be a smooth manifold with $dim M \geq 3$ and a base point $x_{0}$ . Surgeries along the oriented circle $S^{1} \times {x_{0}}$ on the product $S^{1} \times M$ yields two ma…

math.AG2021

Schubert calculus and Intersection theory of Flag manifolds

Haibao Duan, Xuezhi Zhao

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 cours…