The genus problem for one-relator products of locally indicable groups.
The geography of simply-connected symplectic manifolds
By using the Seiberg-Witten invariant we show that the region under the Noether line in the lattice domain is covered by minimal, simply connected, symplectic 4-manifolds.
The geometric genus of hypersurface singularities
Using the path lattice cohomology we provide a conceptual topological characterization of the geometric genus for certain complex normal surface singularities with rational homology sphere links, which is uniformly valid for all superisolated and Newton non-degenerate hypersurface singularities.
The geometry of a vector bundle endowed with a cone field.
The geometry of abstract groups and their splittings.
A survey of splitting theorems for abstract groups and their applications. Topics covered include preliminaries, early results, Bass-Serre theory, the structure of G-trees, Serre's applications to SL2 and length functions. Stallings' theorem, results about accessibility and bounds for splittability. Duality groups and pairs; results of Eckmann and collaborators on PD2 groups. Relative ends, the JSJ theorems and the splitting results of Kropholler and Roller on PDn groups. Notions of quasi-isometry,...
The Geometry of Critical and Near-Critical Values of Differentiable Mappings.
The geometry of -covered foliations.
The Geometry of Self-adjunction
The geometry of Teichmüller space via geodesic currents.
The geometry of the local cohomology filtration in equivariant bordism.
The geometry of the Seiberg-Witten invariants.
The Gieseking manifold and its surgery orbifolds.
The graded Lie algebra of a Kähler group.
The Gromov invariant and the Donaldson-Smith standard surface count.
The Gromov Invariant of Links.
The Gromov width of complex Grassmannians.
The group of biholomorphic automorphisms of symmetric Siegel domains and its topology
The Group of Homotopy Self-Equivalences of Some Compact CW-Complexes*.
The Group of Large Diffeomorphisms in General Relativity
We investigate the mapping class groups of diffeomorphisms fixing a frame at a point for general classes of 3-manifolds. These groups form the equivalent to the groups of large gauge transformations in Yang-Mills theories. They are also isomorphic to the fundamental groups of the spaces of 3-metrics modulo diffeomorphisms, which are the analogues in General Relativity to gauge-orbit spaces in gauge theories.
The Hauptvermutung for homeomorphisms II. A proof valid for open 4-manifolds