The classiflcation of maps of surfaces.
The closure of the space of homeomorphisms on a manifold. The piecewise linear case
The cohomology algebras of orientable Seifert manifolds and applications to Lusternik-Schnirelmann category
This note gives a complete description of the cohomology algebra of any orientable Seifert manifold with ℤ/p coefficients, for an arbitrary prime p. As an application, the existence of a degree one map from an orientable Seifert manifold onto a lens space is completely determined. A second application shows that the Lusternik-Schnirelmann category for a large class of Seifert manifolds is equal to 3, which in turn is used to verify the Ganea conjecture for these Seifert manifolds.
The colored Jones function is -holonomic.
The concordance genus of knots.
The convex and concave decomposition of manifolds with real projective structures
The Definition of Topological Manifolds
This article introduces the definition of n-locally Euclidean topological spaces and topological manifolds [13].
The deformation theory of anti-self-dual conformal structures.
The Degree and Branch Set of a Branched Covering.
The Degree of a Map Between Surfaces.
The disjoint curve property.
The Donaldson invariant and embedded 2-spheres.
The Dynamical Complexity of Orientation Reversing Homeomorphisms of Surfaces.
The end curve theorem for normal complex surface singularities
We prove the “End Curve Theorem,” which states that a normal surface singularity with rational homology sphere link is a splice quotient singularity if and only if it has an end curve function for each leaf of a good resolution tree. An “end curve function” is an analytic function whose zero set intersects in the knot given by a meridian curve of the exceptional curve corresponding to the given leaf. A “splice quotient singularity” is described by giving an explicit set of equations describing...
The equivariant topological s-cobordism theorem.
The Euler characteristic of a category.
The existence of maps of nonzero degree between aspherical 3-manifolds.
The existence of polar non-degenerate functions on a topological manifold
The extended complexity of three-manifolds.
The extension of Johnson's homomorphism form the Torelli group to the mapping class group.