A combinatorial characterization of 4-dimensional handlebodies.
A combinatorial theorem for a symmetric triangulation of the sphere
A graph-theoretical representation of PL-manifolds - A survey on crystallizations.
A short proof of the uniqueness of Kühnel's 9-vertex complex projective plane.
A simpler construction of volume polynomials for a polyhedron.
A Total Whitehead Torsion Obstruction to Fibering over the Circle.
Absolute subcomplexes
An equivalence criterion for 3-manifolds.
Within geometric topology of 3-manifolds (with or without boundary), a representation theory exists, which makes use of 4-coloured graphs. Aim of this paper is to translate the homeomorphism problem for the represented manifolds into an equivalence problem for 4-coloured graphs, by means of a finite number of graph-moves, called dipole moves. Moreover, interesting consequences are obtained, which are related with the same problem in the n-dimensional setting.