10 citations · 32 across the 17 of their papers we have counts for
4 papers · 1 filter
Sphere bundles over -manifolds are trivial after looping
Ruizhi Huang
We show that except two special cases, the sphere bundle of a vector bundle over a simply connected -manifold splits after looping. In particular, this implies that though there…
Suspension Splitting and Cohomotopy Sets of Simply Connected -manifolds
Ruizhi Huang, Pengcheng Li
Let be a closed simply connected -manifold. In this paper we establish homotopy decompositions of the reduced suspension space into a wedge sum of simpler spaces when l…
Homotopy of manifolds stabilized by projective spaces
Ruizhi Huang, Stephen Theriault
We study the homotopy of the connected sum of a manifold with a projective space, viewed as a typical way to stabilize manifolds. In particular, we show a loop homotopy decompositi…
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…