Princeton University

most citedMagnetically driven ferroelectric order in Ni

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8 papers · 1 filter

math.GT2005

Pseudo-Anosov extensions and degree one maps between hyperbolic surface bundles

Michel Boileau, Yi Ni, Shicheng Wang

Let $F^{'}, F$ be any two closed orientable surfaces of genus $g^{'} > g \geq 1$ , and $f : F \to F$ be any pseudo-Anosov map. Then we can "extend" $f$ to be a pseudo-Anosov map $f^{'} : F^{'} \to F^{'}$ so…

math.GT2005★ 11 cited

Khovanov-Rozansky homology of two-bridge knots and links

Jacob Rasmussen

We compute the reduced version of Khovanov and Rozansky's sl(N) homology for two-bridge knots and links. The answer is expressed in terms of the HOMFLY polynomial and signature.

math.GT2005

Circle actions on simply connected 5--manifolds

János Kollár

The aim of this paper is to study compact 5--manifolds which admit fixed point free circle actions. The first result implies that the torsion in the second homology and the second…

math.GT2005

Embedding infinite cyclic covers of knot spaces into 3-space

Boju Jiang, Yi Ni, Shicheng Wang +1

We say a knot $k$ in the 3-sphere $S^{3}$ has {\it Property $I E$ } if the infinite cyclic cover of the knot exterior embeds into $S^{3}$ . Clearly all fibred knots have P…

math.GT2004★ 4 cited

Shrinkwrapping and the taming of hyperbolic 3-manifolds

Danny Calegari, David Gabai

We introduce a new technique for finding CAT(-1) surfaces in hyperbolic 3-manifolds. We use this to show that a complete hyperbolic 3-manifold with finitely generated fundamental g…

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…