An effective algorithm to get linking numbers of the 3-manifolds.
An elementary approach to the mapping class group of a surface.
An elementary proof of a Lima's theorem for surfaces.
An elementary proof of the following theorem is given:THEOREM. Let M be a compact connected surface without boundary. Consider a C∞ action of Rn on M. Then, if the Euler-Poincaré characteristic of M is non zero there exists a fixed point.
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 Equivariant Extension Theorem and G-Retracts with a Finite Structure.
An Equivariant Lefschetz Formula for Finite Reductive Groups.
An Exact Sequence of Braid Groups.
An Example of Moduli for Singular Symplec-tic Forms
An example of two homeomorphic, nondiffeomorphic complete intersection surfaces.
An Exotic Orientable 4-Manifold.
An exotic smooth structure on .
An expansion of the Jones representation of genus 2 and the Torelli group.
An extension and axiomatic characterization of Borsuk's theory of shape
An extension of the Loop theorem and resolutions of generalized 3-manifolds with 0-dimensional singular set.
An extension theorem for sober spaces and the Goldman topology.
An general handle addition theorem.
An implementation of the Bestvina-Handel algorithm for surface homeomorphisms.
An indecomposable -complex. II.
An index inequality for embedded pseudoholomorphic curves in symplectizations
Let be a surface with a symplectic form, let be a symplectomorphism of , and let be the mapping torus of . We show that the dimensions of moduli spaces of embedded pseudoholomorphic curves in , with cylindrical ends asymptotic to periodic orbits of or multiple covers thereof, are bounded from above by an additive relative index. We deduce some compactness results for these moduli spaces. This paper establishes some of the foundations for a program with Michael Thaddeus, to understand...
An inequality for symplectic fillings of the link of a hypersurface K3 singularity
Some relations between normal complex surface singularities and symplectic fillings of the links of the singularities are discussed. For a certain class of singularities of general type, which are called hypersurface K3 singularities in this paper, an inequality for numerical invariants of any minimal symplectic fillings of the links of the singularities is derived. This inequality can be regarded as a symplectic/contact analog of the 11/8-conjecture in 4-dimensional topology.