8 papers
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…
On the degrees of equivariant maps from spheres to complex Stiefel manifolds
Haibao Duan, Ruizhi Huang
We study the set of degrees of -equivariant maps from spheres to complex Stiefel manifolds, motivated by the work of Astey--Gitler--Micha--Pastor. Under a suitable ar…
Fractional structures on bundle gerbe modules and fractional classifying spaces
Fei Han, Ruizhi Huang, Varghese Mathai
We study the homotopy aspects of the twisted Chern classes of torsion bundle gerbe modules. Using Sullivan's rational homotopy theory, we realize the twisted Chern classes at the l…
Orders of the canonical vector bundles over configuration spaces of finite graphs
Frederick R. Cohen, Ruizhi Huang
We prove that the order of the canonical vector bundle over the configuration space is for a general planar graph, and is for a nonplanar graph.
On characteristic numbers of dimensional String manifolds
Fei Han, Ruizhi Huang
In this paper, we study the Pontryagin numbers of dimensional String manifolds. In particular, we find representatives of an integral basis of the String cobrodism group at di…
String Structures and Modular Invariants
Haibao Duan, Fei Han, Ruizhi Huang
In this paper, we study some algebraic topology aspects of String structures, more precisely, from the perspective of Whitehead tower and the perspective of the loop group of $…