Showing math.ATShow all
3 papers · 1 filter
math.AT2025
Gyration Stability for Projective Planes
Sebastian Chenery, Stephen Theriault
Gyrations are operations on manifolds that arise in geometric topology, where a manifold may exhibit distinct gyrations depending on the chosen twisting. For a given , we as…
math.AT2025
Stabilization of Poincaré duality complexes and homotopy gyrations
Ruizhi Huang, Stephen Theriault
Stabilization of manifolds by a product of spheres or a projective space is important in geometry. There has been considerable recent work that studies the homotopy theory of stabi…
math.AT2024
Top cell attachment for a Poincare Duality complex
Stephen Theriault
Let M be a simply-connected closed Poincare Duality complex of dimension n. Then M is obtained by attaching a cell of highest dimension to its (n-1)-skeleton M'. Conditions are giv…