Heegaard Reducing Spheres for the 3-Sphere
Heegaard Reducing Spheres for the 3-Sphere
In a previous paper with W. Thurston the author defined an invariant in \({\mathbb Q}/2\) of a knot with unknotting tunnel \(\gamma\). To construct this invariant they characterized reducing spheres for genus two Heegaard splittings of \(S^3\). In the paper under review the author generalizes this characterisation to arbitrary genus Heegaard splittings of \(S^3\) and proves that there always exists a sequence of complete collections of reducing spheres with some conditions.
- University of Trieste Italy
Topology of general \(3\)-manifolds, reducing sphere, Topology of the Euclidean \(3\)-space and the \(3\)-sphere, Heegaard spliting, 3-sphere
Topology of general \(3\)-manifolds, reducing sphere, Topology of the Euclidean \(3\)-space and the \(3\)-sphere, Heegaard spliting, 3-sphere
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