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Results tagged with 3-manifolds
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user 47710
A three-manifold is a space that locally looks like Euclidean three-dimensional space
10
votes
3
answers
600
views
Torsion in cuspidal cohomology
Following Lemma 2.7 from Vogtmann's Rational Homology of Bianchi Groups, I want to define cuspidal cohomology as $$H_{\mathrm{cusp}}(M)=\frac{H_1(M)}{i_*(H_1(\partial M))}$$ where $i:\partial M\to M$ …
- 656
3
votes
Triangulations of 3-manifolds in Regina and SnapPy
In recent enough versions of SnapPy and Regina, you can just cast a triangulation from one format to the other:
from regina import Triangulation3
from snappy import Manifold
M = Manifold("m004") # Sn …
- 656
19
votes
Accepted
Is the 4x5 chessboard complex a link complement?
I met this manifold before. It is a normal cover of the orbifold $\mathbb{H}^3/\mathrm{PSL}(2,\mathbb{Z}[\zeta])$ where $\zeta=e^{\pi i/3}$.
I suspect that it actually is $\mathbb{H}^3/\ker\left(\mat …
- 656
16
votes
Is the 4x5 chessboard complex a link complement?
Figure 1.27 of
http://math.berkeley.edu/~matthias/research/matthias_goerner_thesis_print.pdf
shows the link.
- 656