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Torus bundle : ウィキペディア英語版 | Torus bundle
In mathematics, in the sub-field of geometric topology, a torus bundle is a kind of surface bundle over the circle, which in turn are a class of three-manifolds. ==Construction==
To obtain a torus bundle: let be an orientation-preserving homeomorphism of the two-dimensional torus to itself. Then the three-manifold is obtained by * taking the Cartesian product of and the unit interval and * gluing one component of the boundary of the resulting manifold to the other boundary component via the map . Then is the torus bundle with monodromy .
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Torus bundle」の詳細全文を読む
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