Taut ideal triangulations of 3-manifolds.
Teorema de Gauss-Bonnet para fíbrados de Seifert.
The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl (2, C).
The Alexander polynomial of a 3-manifold and the Thurston norm on cohomology
The A-polynomial of the pretzel knots.
The Bing-Borsuk conjecture is stronger than the Poincaré conjecture
The Characteristic Toric Splitting of Irreducible Compact 3-Orbifolds.
The classification of nonsimple algebraic tangles.
The cohomology algebras of orientable Seifert manifolds and applications to Lusternik-Schnirelmann category
This note gives a complete description of the cohomology algebra of any orientable Seifert manifold with ℤ/p coefficients, for an arbitrary prime p. As an application, the existence of a degree one map from an orientable Seifert manifold onto a lens space is completely determined. A second application shows that the Lusternik-Schnirelmann category for a large class of Seifert manifolds is equal to 3, which in turn is used to verify the Ganea conjecture for these Seifert manifolds.
The colored Jones function is -holonomic.
The disjoint curve property.
The end curve theorem for normal complex surface singularities
We prove the “End Curve Theorem,” which states that a normal surface singularity with rational homology sphere link is a splice quotient singularity if and only if it has an end curve function for each leaf of a good resolution tree. An “end curve function” is an analytic function whose zero set intersects in the knot given by a meridian curve of the exceptional curve corresponding to the given leaf. A “splice quotient singularity” is described by giving an explicit set of equations describing...
The existence of maps of nonzero degree between aspherical 3-manifolds.
The extended complexity of three-manifolds.
The Fukumoto-Furuta and the Ozsváth-Szabó invariants for spherical 3-manifolds
We show that the Fukumoto-Furuta invariant for a rational homology 3-sphere M, which coincides with the Neumann-Siebenmann invariant for a Seifert rational homology 3-sphere, is the same as the Ozsváth-Szabó's correction term derived from the Heegaard Floer homology theory if M is a spherical 3-manifold.
The Gieseking manifold and its surgery orbifolds.
The Gromov Invariant of Links.
The Heegaard genus of manifolds obtained by surgery on links and knots.
The homeomorphism group of a three-dimensional polyhedron is locally contractible
The Homflypt skein module of a connected sum of 3-manifolds.