Motivated by the study in Morse theory and Smale's work in dynamics, the following questions are studied and answered: (1) When does a 3-manifold admit an automorphism having a knotted Smale solenoid as an attractor? (2) When does a 3-manifold admit an automorphism whose non-wandering set consists of Smale solenoids? The result presents some intrinsic symmetries for a class of 3-manifolds
AbstractPrevious results of the authors completely determine when the n-fold self-products of two 3-...
If H is a spatial handlebody, i.e. a handlebody embedded in the 3-sphere, a spine of H is a graph Γ...
A solenoid is an inverse limit of circles. When a solenoid is embedded in three space, its complemen...
Motivated by the study in Morse theory and Smale's work in dynamics, the following questions are stu...
AbstractWe study how to realize Smale solenoid type attractors in 3-manifolds. It is already known t...
The interaction of topology and dynamics has attracted a great deal of attention from numerous math...
Solenoids are inverse limits of the circle, and the classical knot theory is the theory of tame embe...
We find all Heegaard diagrams with the property ``alternating'' or ``weakly alternating'' on a genus...
Abstract. A solenoid is an inverse limit of circles. When a solenoid is embedded in three space, its...
International audienceWe show that if $f: M^3\to M^3$ is an $A$-diffeomorphism with a surface two-di...
We prove that instanton L-space knots are fibered and strongly quasipositive. Our proof differs conc...
AbstractIn a very general setting, we show that a 3-manifold obtained as the orbit space of the basi...
Abstract. This paper studies closed 3-manifolds which are the attractors of a system of finitely man...
In this dissertation we discuss various results for spaces that are wild, i.e. not locally sim-ply c...
Echeverria recently introduced an invariant for a smoothly embedded torus in a homology $S^1\times S...
AbstractPrevious results of the authors completely determine when the n-fold self-products of two 3-...
If H is a spatial handlebody, i.e. a handlebody embedded in the 3-sphere, a spine of H is a graph Γ...
A solenoid is an inverse limit of circles. When a solenoid is embedded in three space, its complemen...
Motivated by the study in Morse theory and Smale's work in dynamics, the following questions are stu...
AbstractWe study how to realize Smale solenoid type attractors in 3-manifolds. It is already known t...
The interaction of topology and dynamics has attracted a great deal of attention from numerous math...
Solenoids are inverse limits of the circle, and the classical knot theory is the theory of tame embe...
We find all Heegaard diagrams with the property ``alternating'' or ``weakly alternating'' on a genus...
Abstract. A solenoid is an inverse limit of circles. When a solenoid is embedded in three space, its...
International audienceWe show that if $f: M^3\to M^3$ is an $A$-diffeomorphism with a surface two-di...
We prove that instanton L-space knots are fibered and strongly quasipositive. Our proof differs conc...
AbstractIn a very general setting, we show that a 3-manifold obtained as the orbit space of the basi...
Abstract. This paper studies closed 3-manifolds which are the attractors of a system of finitely man...
In this dissertation we discuss various results for spaces that are wild, i.e. not locally sim-ply c...
Echeverria recently introduced an invariant for a smoothly embedded torus in a homology $S^1\times S...
AbstractPrevious results of the authors completely determine when the n-fold self-products of two 3-...
If H is a spatial handlebody, i.e. a handlebody embedded in the 3-sphere, a spine of H is a graph Γ...
A solenoid is an inverse limit of circles. When a solenoid is embedded in three space, its complemen...