| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660868 | Topology and its Applications | 2006 | 11 Pages |
Abstract
We give an algorithm to decide which elements of π2(#kS2×S1) can be represented by embedded spheres up to conjugacy. Such spheres correspond to splittings of the free group Fk on k generators. We also give an algorithm to decide when classes in π2(#kS2×S1) can be represented by disjoint embedded spheres.Our methods may be useful in studying the splitting complex of a free group, and hence the group of outer automorphisms.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
