(Disk, Essential surface) pairs of Heegaard splittings that intersect in one point
| dc.creator | Lee, Jung Hoon | |
| dc.date | 2008-12-26 | |
| dc.date.accessioned | 2026-07-07T12:22:49Z | |
| dc.date.available | 2026-07-07T12:22:49Z | |
| dc.description | We consider a Heegaard splitting M=H_1 \cup_S H_2 of a 3-manifold M having an essential disk D in H_1 and an essential surface F in H_2 with |D \cap F|=1. (We require that boundary of F is in S when H_2 is a compressionbody with non-empty "minus" boundary.) Let F be a genus g surface with n boundary components. From S, we obtain a genus g(S)+2g+n-2 Heegaard splitting M=H'_1 \cup_S' H'_2 by cutting H_2 along F and attaching F \times [0,1] to H_1. As an application, by using a theorem due to Casson and Gordon, we give examples of 3-manifolds having two Heegaard splittings of distinct genera where one of the two Heegaard splittings is a strongly irreducible non-minimal genus splitting and it is obtained from the other by the above construction. | |
| dc.description | 9 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/0812.4650 | |
| dc.identifier | http://arxiv.org/abs/0812.4650 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213781 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57N10; 57M50 | |
| dc.title | (Disk, Essential surface) pairs of Heegaard splittings that intersect in one point | |
| dc.type | text |