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- W1675690638 abstract "We give an algorithm to decide which elements of pi_2(S^2times S^1#...#S^2times S^1) can be represented by embedded spheres. Such spheres correspond to splittings of the free group on k generators. Equivalently our algorithm decides whether, for a handlebody N, an element in pi_2(N,partial N) can be represented by an embedded disc. We also give an algorithm to decide when classes in $pi_2(S^2times S^1#...#S^2times S^1)$ can be represented by disjoint embedded spheres. We introduce the splitting complex of a free group which is analogous to the complex of curves of a surface. We show that the splitting complex of the free group on k generators embeds in the complex of curves of a surface of genus $k$ as a quasi-convex subset." @default.
- W1675690638 created "2016-06-24" @default.
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- W1675690638 date "2004-10-04" @default.
- W1675690638 modified "2023-09-27" @default.
- W1675690638 title "Embedded spheres in S^2times S^1#...#S^2times S^1" @default.
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