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Results tagged with surgery-theory
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user 499291
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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Effect of a Lutz twist on Euler number
I think the proof as written in the book is more along the following lines. Let $K$ be the positive transverse knot along which the Lutz twist on $\xi_0$ is performed. Take a neighborhood $S^1\times D …
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