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Disjoint pairs of annuli and disks for Heegaard splittings
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Abstract
We consider interesting conditions, one of which will be called thetextit{disjoint (A^2,D^2)-pair property}, on genus gge 2 Heegaard splittingsof compact orientable 3-manifolds. Here a Heegaard splitting (C_1,C_2;F) admits thetextit{disjoint (A^2,D^2)-pair property} if there are an essential annulus A_i normallyembedded in C_i and an essential disk D_j in C_j ((i,j)=(1,2) or (2,1)) such thatpartial A_i is disjoint from partial D_j. It is proved that all genus gge 2Heegaard splittings of toroidal manifolds and Seifert fibered spacesadmit the disjoint (A^2,D^2)-pair property.
참고문헌 (8)
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관련 논문AI추천
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