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Results tagged with surgery-theory
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user 56571
In geometric topology, surgery theory is used to produce one finite-dimensional manifold from another in a 'controlled' way. Originally developed for differentiable (smooth) manifolds, surgery techniques also apply to piecewise linear and topological manifolds. Surgery refers to cutting out parts of the manifold and replacing it with a part of another manifold, matching up along the cut or boundary. This is related to handlebody decompositions.
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Integer surgery on $S^3$
You can think about attaching a solid torus as a two-step process:
First, attach $D^2 \times I$ where $D^2$ is the meridional disc of the attaching torus.
Secondly, attach the remaining of the soli …
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