Non-Simply-Connected Surgery and Some Results in Low Dimensional Topology.
On a class of spaces for which the fixed-point property is characterized by homology groups
On a secondary invariant of the hyperelliptic mapping class group
We discuss relations among several invariants of 3-manifolds including Meyer's function, the η-invariant, the von Neumann ρ-invariant and the Casson invariant from the viewpoint of the mapping class group of a surface.
On diffeomorphisms over surfaces trivially embedded in the 4-sphere.
On Klein Surfaces and Dihedral Groups.
On manifold spines and cyclic presentations of groups
This is a survey of results and open problems on compact 3-manifolds which admit spines corresponding to cyclic presentations of groups. We also discuss questions concerning spines of knot manifolds and regular neighborhoods of homotopically PL embedded compacta in 3-manifolds.
On McMullen's and other inequalities for the Thurston norm of link complements.
On signatures and a subgroup of a central extension to the mapping class group.
On the cohomology of the classifying space of the gauge group over some 4-complexes
On the forcing relation for surface homeomorphisms
On the linearity problem for mapping class groups.
On the structure of closed 3-manifolds
We will show that for every irreducible closed 3-manifold M, other than the real projective space P³, there exists a piecewise linear map f: S → M where S is a non-orientable closed 2-manifold of Euler characteristic χ ≡ 2 (mod 3) such that for all x ∈ M, the closure of the set is a cubic graph G such that consists of 1/3(2-χ) + 2 simply connected regions, M - f(S) consists of two disjoint open 3-cells such that f(S) is the boundary of each of them, and f has some additional interesting properties....
Overtwisted open books from sobering arcs.
Pappus's theorem and the modular group
Positively curved combinatorial 3-manifolds.
Presentation of hyperelliptic periodic monodromies and splitting families.
Presentations for the punctured mapping class groups in terms of Artin groups.
Properly homotopic nontrivial planes are isotopic
It is proved that two planes that are properly homotopic in a noncompact, orientable, irreducible 3-manifold that is not homeomorphic to are isotopic. The end-reduction techniques of E. M. Brown and C. D. Feustal and M. G. Brin and T. L. Thickstun are used.
Relative growth rates of closed geodesics on a surface under varying hyperbolic structures.
Rotation Numbers of Products of Circle Homeomorphisms.