activity
20012026
most citedTwo remarks on Wall's D2 problem

12 citations · 71 across the 37 of their papers we have counts for

collaborators

46 papers

math.AT2026

Braidings of Self-Equivalences and Bordism

Ian Hambleton, Kursat Sozer

Let be a closed, smooth or topological -manifold, with . We construct a homotopy highly cartesian square relating the space of homotopy se…

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.GT2024

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…

math.GT2023

Finite group actions on 4-manifolds and equivariant bundles

Nima Anvari, Ian Hambleton

Given a 4-manifold with a homologically trivial and locally-linear cyclic group action, we obtain necessary and sufficient conditions for the existence of equivariant bundles. The…

math.GT2022★ 1 cited

A stability range for topological 4-manifolds

Ian Hambleton

We introduce a new stable range invariant for the classification of closed, oriented topological -manifolds (up to -cobordism), after stabilization by connected sum with a un…