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4 papers · 1 filter
Sampling Lissajous and Fourier knots
Adam Boocher, Jay Daigle, Jim Hoste +1
A Lissajous knot is one that can be parameterized by a single cosine function in each coordinate. Lissajous knots are highly symmetric, and for this reason, not all knots are Lissa…
Slicing Bing doubles
David Cimasoni
Bing doubling is an operation which produces a 2-component boundary link B(K) from a knot K. If K is slice, then B(K) is easily seen to be boundary slice. In this paper, we investi…
On embedding all -manifolds into a single -manifold
Fan Ding, Shicheng Wang, Jiangang Yao
For each composite number , there does not exist a single connected closed -manifold such that any smooth, simply-connected, closed -manifold can be topological…
A quick survey of foliations on 4-manifolds
Alexandru Scorpan
We present a few general results on foliations of 4-manifolds by surfaces: existence, tautness, relations to minimal genus of embedded surfaces; as well as some open problems. We h…