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4 votes
0 answers
123 views

Is finding boundary-reducing discs for PL 3-manifolds with boundary pattern computationally efficient?

I am working with manifolds with boundary pattern, as defined by Matveev in his book Algorithmic Topology and Classification of 3-Manifolds. A manifold with boundary pattern is a pair $(M, P)$ where $...
JPQ's user avatar
  • 41
8 votes
2 answers
489 views

Quantitative word problem for 3-manifold groups

The word problem for 3-manifold groups is solvable: given a based loop $\gamma$ in $M^3$ there is an algorithm to decide whether $\gamma$ bounds a disk. What kinds of quantitative results are known ...
Ben Cooper's user avatar
3 votes
2 answers
166 views

Looking through a bunch of links for unlinks?

I am looking for a bit of orientation with regards to computational topology resources, as I am personally totally ignorant on the subject. I have lots of different links in $S^3$ (hundreds of ...
user101010's user avatar
  • 5,349
5 votes
3 answers
530 views

Triangulations of 3-manifolds in Regina and SnapPy

I have been doing some statistical studies on small 3-manifolds, and I note that one can produce larg-ish censuses of triangulations in Regina. Now, the Regina documentation tells us how to convert a ...
Igor Rivin's user avatar
  • 96.4k
11 votes
2 answers
692 views

Software for computing Thurston's unit ball

Is there any software which can be used for computing Thurston's unit ball (for second homology of 3-manifolds) of link complements? In particular can I do that with SnapPy? PS: even a table for ...
Mehdi Yazdi's user avatar