Some papers on topological 4-manifolds.

The following list is not meant to be an exhaustive list of papers on the given topic.

Homeomorphism, h/s-cobordism and homotopy classifications:

• Boyer: Simply-connected 4-manifolds with a given boundary.

• Boyer: Realisation of 4-manifolds with a given boundary.

• Davis-Hillman: Aspherical 4-manifolds with elementary amenable fundamental group.

• Hambleton-Kreck: On the classification of topological 4-manifolds with finite fundamental group (1/3).

• Hambleton-Kreck-Teichner: Nonorientable 4-manifolds with fundamental group of order 2. 

• Hambleton-Kreck-Teichner Topological 4-manifolds with geometrically 2-dimensional fundamental groups.

• Hillman, Kasprowski, Powell, Ray: Homotopy classification of 4-manifolds with 3-manifold fundamental group.

• Kasprowski-Land:  Topological 4-manifolds with 4-dimensional fundamental group.

• Stong: Simply-connected 4-manifolds with a given boundary.

Stable classifications:

• Davis: The Borel/Novikov conjectures and stable diffeomorphisms of 4-manifolds.

• Kasprowski-Land-Powell-Teichner: Stable classification of 4-manifolds with 3-manifold fundamental groups.

• Kasprowski-Nicholson-Vesela: Stable equivalence relations on 4-manifolds.

• Kasprowski-Powell-Teichner: Algebraic criteria for stable diffeomorphism of spin 4-manifolds.

• Kasprowski-Powell-Teichner: The Kervaire-Milnor invariant in the stable classification of spin 4-manifolds. 

• Teichner: Topological 4-manifolds with finite fundamental group.

Classifications of connected surfaces in 4-manifolds:

• Baykur-Sunukjian: Knotted surfaces in 4-manifolds and stabilizations.

• Daher-Powell Smoothing 3-manifolds in 5-manifolds.

• Feller-Miller-Nagel-Orson-Powell-Ray: Embedding spheres in knot traces.

• Friedl-Teichner: New topologically slice knots.

• Lee-Wilczynski: Locally flat 2-spheres in simply connected 4-manifolds.

• Lee-Wilczynski: Representing Homology Classes by Locally Flat 2-Spheres.

• Lee-Wilczynski: Representing Homology Classes by Locally Flat Surfaces of Minimum Genus.

• Klug-Miller: Concordance of spheres in 4-manifolds with an immersed dual spheres.

• Orson-Powell: Simple spines of homotopy 2-spheres are unique.

• Schneiderman-Teichner: Homotopy versus isotopy: spheres with duals in 4-manifolds.

Homeomorphism groups and mapping class groups:

• Galvin: The Casson-Sullivan invariant for homeomorphisms of 4-manifolds.

• Galvin-Nonino: Pseudo-isotopy versus isotopy for homeomorphisms of 4-manifolds.

• Orson-Powell: Mapping class groups of simply connected 4-manifolds with boundary.

• Orson-Powell Randall-Williams: Smoothing topological pseudo-isotopies of 4-manifolds.  

• Powell: Symmetries of 4-manifolds || Warsaw lectures.

• Singh: Pseudo-isotopies and diffeomorphisms of 4-manifolds.

• Stong-Wang: Self-homeomorphisms of 4-manifolds with fundamental group Z.

Locally linear group actions:

• Chen: Section 1 of Group actions on 4-manifolds: some recent results and open questions.

• Edmonds: Construction of Group Actions of Four-Manifolds.

• Kwasik-Vogel: Asymmetric four-dimensional manifolds.

• Kwasik: On the symmetries of fake CP^2.

• Wilczynski: Periodic maps on simply connected four-manifolds.

• Wilczynski: On the topological classification of pseudofree group actions on 4-manifolds. I.

The surgery conjecture.

• Cha-Kim-Powell: A family of freely slice good boundary links.

• Freedman-Teichner: 4-Manifold topology I- Subexponential groups.

• Kim-Orson-Park-Ray: Chapter 23 of the book "The disc embedding theorem".

• Krushkal: A counterexample to the strong version of Freedman’s conjecture.

• Krushkal: Surfaces in 4-manifolds and the surgery conjecture.

• Krushkal-Quinn: Subexponential groups in 4–manifold topology.