Sufficient Conditions for Amalgamated 3-Manifolds to be ∂-Irreducible

Bing Fang; Fengchun Lei; Liang Liang

doi:10.1007/s11401-024-0009-5

Chinese Annals of Mathematics, Series B ›› 2024, Vol. 45 ›› Issue (2) : 161 -172. DOI: 10.1007/s11401-024-0009-5

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Sufficient Conditions for Amalgamated 3-Manifolds to be ∂-Irreducible

Bing Fang ¹^,^a
, Fengchun Lei ¹^,^b
, Liang Liang ²^,^c

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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

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Bing Fang, Fengchun Lei, Liang Liang. Sufficient Conditions for Amalgamated 3-Manifolds to be ∂-Irreducible. Chinese Annals of Mathematics, Series B, 2024, 45(2): 161-172 DOI:10.1007/s11401-024-0009-5