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Titlebook: Algorithmic and Computer Methods for Three-Manifolds; A. T. Fomenko,S. V. Matveev Book 1997 Springer Science+Business Media Dordrecht 1997

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Heegaard Splittings and Heegaard Diagrams,heir boundaries. For example, gluing two copies of the three-dimensional ball by the identity on their boundaries yields a three-dimensional sphere, the same as gluing those two balls along any homeomorphism of their boundaries. In general, the result of a gluing depends essentially on the choice of
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Surgery along Links,. = . (.) ⋃..(.), is a closed orientable three-dimensional manifold. We shall say that . is obtained from the manifold . by surgery along the knot .. The result . depends, of course, on the choice of the homeomorphism .. In fact, the manifold . is completely defined by the image of the meridian .. ×
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