A universal bound for surfaces in 3-manifolds with a given Heegaard genus.
A universal class of 4-colored graphs.
A vanishing theorem for twisted Alexander polynomials with applications to symplectic 4-manifolds
In this paper we show that given any 3-manifold and any non-fibered class in there exists a representation such that the corresponding twisted Alexander polynomial is zero. We obtain this result by extending earlier work of ours and by combining this with recent results of Agol and Wise on separability of 3-manifold groups. This result allows us to completely classify symplectic 4-manifolds with a free circle action, and to determine their symplectic cones.
A volume-preserving counterexample to the Seifert conjecture.
A wild Cantor set in with simply connected complement
About neighborhoods of surfaces integrally unknotted in
About some infinite family of 2-bridge knots and 3-manifolds.
Actions de groupes finis sur : la conjecture de P. A. Smith
Actions of discrete groups on nonpositively curved spaces.
Actions of on some surface-bundles over
Addendum and correction to: “Homology cylinders: an enlargement of the mapping class group”.
Algebraic Classification of Linking Pairings on 3-Manifolds.
Algebraic linking numbers of knots in 3-manifolds.
Algorithmic compression of surface automorphisms.
An algorithm of finding planar surfaces in three-manifolds.
An algorithm to detect laminar 3-manifolds.
An asymptotic formula for the eta invariants of hyperbolic 3-manifolds.
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.
An extension of the Loop theorem and resolutions of generalized 3-manifolds with 0-dimensional singular set.
An general handle addition theorem.