2 papers
math.GT2011
Understanding 3-manifolds in the context of permutations
Karoline P. Null
We demonstrate how a 3-manifold, a Heegaard diagram, and a group presentation can each be interpreted as a pair of signed permutations in the symmetric group We demonstrate…
math.GT2011
Sufficient Conditions for Recognizing a 3-manifold Group
Karoline P. Null
In this work we ask when a group is a 3-manifold group, or more specifically, when does a group presentation come naturally from a Heegaard diagram for a 3-manifold? We will give s…