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3–Manifold Containing Separating Incompressible Surfaces of All Positive Genera

✍ Scribed by Ji Ming Ma; Rui Feng Qiu


Book ID
106277778
Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2005
Tongue
English
Weight
123 KB
Volume
21
Category
Article
ISSN
1439-7617

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✦ Synopsis


In this paper, we shall prove that for any orientable 3-manifold M , there is a link L = K ∪ K 1 ∪ K 2 ∪ K 3 with four components in M , such that the complement of L, say M L , contains separating essential closed surfaces of all positive genera.