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A three-manifold is a space that locally looks like Euclidean three-dimensional space
2
votes
0
answers
27
views
Topological meaning of a "totally recurrent" 1d foliation in 3-manifold
I'm trying to understand Sullivan's "cycles for the dynamical study..":
https://www.math.stonybrook.edu/~dennis/publications/PDF/DS-pub-0033.pdf
which I find very complicated being unfamiliar with the …
4
votes
1
answer
372
views
A (not existing) self-homeomorphism of the figure eight knot complement
I was recently looking at the figure eight knot complement $M$, as a once-punctured torus bundle over the surface with monodromy
$
A=\begin{pmatrix}
2 & 1 \\
1 & 1 \end{pmatrix} $
and its sister with …