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math.GT2004
3-manifolds that admit knotted solenoids as attractors
Boju Jiang, Yi Ni, Shicheng Wang
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 kno…
math.GT2004
Small knots and large handle additions
Ruifeng Qiu, Shicheng Wang
We construct a hyperbolic 3-manifold (with totally geodesic) which contains no essential closed surfaces, but for any even integer there are infinitely many…