22 citations · 108 across the 27 of their papers we have counts for
32 papers
Homotopy of blow ups after looping
Ruizhi Huang, Stephen Theriault
The homotopy theory of the blow up construction in algebraic and symplectic geometry is investigated via two approaches. The first approach introduces and develops fibrewise surger…
Weighted polyhedral products and Steenrod's problem
Tseleung So, Donald Stanley, Stephen Theriault
We construct a weighted version of polyhedral products and compute its cohomology in special cases. This is applied to resolve Steenrod's cohomology realization problem in a case r…
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…
Homotopy theoretic properties of open books
Ruizhi Huang, Stephen Theriault
We study the homotopy groups of open books in terms of those of their pages and bindings. Under homotopy theoretic conditions on the monodromy we prove an integral decomposition re…
Loop space decompositions of -connected -dimensional Poincaré Duality complexes
Ruizhi Huang, Stephen Theriault
Beben and Wu showed that if is a -connected -dimensional Poincaré Duality complex such that and consists only of odd torsion, t…
Exponential growth in the rational homology of free loop spaces and in torsion homotopy groups
Ruizhi Huang, Stephen Theriault
Using integral methods we recover and generalize some results by Félix, Halperin and Thomas on the growth of the rational homology groups of free loop spaces, and obtain a new fami…