3 papers
math.AT2025
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…
math.AT2025
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…
math.AT2024
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…