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.