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| Sufficient Conditions for Amalgamated 3-Manifolds to be ∂-Irreducible∗ |
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Citation： |
Bing FANG,Fengchun LEI,Liang LIANG.Sufficient Conditions for Amalgamated 3-Manifolds to be ∂-Irreducible∗[J].Chinese Annals of Mathematics B,2024,45(2):161~172 |
| Page view： 1376
Net amount： 751 |
Authors： |
Bing FANG; Fengchun LEI;Liang LIANG |
Foundation： |
This work was supported by the National Natural Science Foundation of China (No. 12071051) |
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| Abstract： |
In this paper, the authors give some sufficient conditions for an amalgamated
3-manifold along a compact connected surface F with boundary to be ?-irreducible in
terms of distances between some kinds of vertex subsets of the curve complex and the arc
complex of F. |
Keywords： |
∂-Irreducibility, Irreducibility, Amalgamated 3-manifold, Curve complex, Arc complex |
Classification： |
17B40, 17B50 |
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