3 papers
math.AT2026
Equivariant CW-complexes homotopy equivalent to spheres: a survey
Ian Hambleton, Ergun Yalcin
This is a survey about finite group actions on CW-complexes and related topics, primarily based on our joint work. The main applications are to finite -CW-complexes which are ho…
math.GT2026
Closed manifold surgery obstructions and the Oozing Conjecture
Ian Hambleton, Ozgun Unlu
We complete the description of surgery obstructions up to homotopy equivalence for closed oriented manifolds with finite fundamental group. New examples are presented of non-trivia…
math.GT2025
Four-manifolds, two-complexes and the quadratic bias invariant
Ian Hambleton, John Nicholson
Kreck and Schafer produced the first examples of stably diffeomorphic closed smooth 4-manifolds which are not homotopy equivalent. They were constructed by applying the doubling co…